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MATHEMATICAL LITERACY FACILITATOR’S GUIDE Grade 12
A member of the FUTURELEARN group
Mathematical Literacy Facilitator’s guide
1812-E-MAL-FG01
Í2,È-E-MAL-FG01&Î
Grade 12
CAPS aligned
E Brönn A Kies
Facilitator’s Guide G12 ~ Mathematical Literacy
CONTENTS LESSON ELEMENTS.......................................................................................................... 5 PREFACE ............................................................................................................................ 6 ASSESSMENT REQUIREMENTS ...................................................................................... 6 THE ASSESSMENT PROGRAMME ................................................................................... 7 YEAR PLANNING ............................................................................................................... 7 UNIT 1: REVIEW OF BASIC SKILLS ................................................................................. 9 Part 1: Rounding ..................................................................................................... 9 Activity 1 ................................................................................................. 9 Part 2: Rounding to the nearest 10, 100, 1 000....................................................... 9 Activity 2 ................................................................................................. 9 Part 3: Scientific notation ........................................................................................ 9 Activity 3 ................................................................................................. 9 Part 4: Percentages .............................................................................................. 10 Activity 4 ............................................................................................... 10 Part 5: Ratios ........................................................................................................ 11 Activity 5 ............................................................................................... 11 Part 6: Rates ......................................................................................................... 12 Activity 6 ............................................................................................... 12 Part 7: Proportions ................................................................................................ 12 Activity 7 ............................................................................................... 12 UNIT 2: MEASUREMENT ................................................................................................. 14 Lesson 1: Revision – Measurement ...................................................................... 14 Activity 8 ............................................................................................... 14 Lesson 2: Time...................................................................................................... 15 Activity 9a ............................................................................................. 15 Activity 9b ............................................................................................. 15 Lesson 3: Temperature ......................................................................................... 15 Activity 10 ............................................................................................. 15 Lesson 4: Travel and timetables ........................................................................... 16 Activity 11a ........................................................................................... 16 Activity 11b ........................................................................................... 17 Lesson 5: Tide timetables ..................................................................................... 17 Activity 12 ............................................................................................. 17
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Facilitator’s Guide G12 ~ Mathematical Literacy
UNIT 3: FINANCE ............................................................................................................. 18 Revision activity.................................................................................... 18 Lesson 6: Break-even analysis ............................................................................. 19 Activity 13 ............................................................................................. 19 Lesson 7: The budget and revenue and expenditure of the government .............. 22 Activity 14a ........................................................................................... 22 Activity 14b ........................................................................................... 23 Activity 15 ............................................................................................. 23 Lesson 8: Running a business .............................................................................. 24 Activity 16 ............................................................................................. 24 Activity 17 ............................................................................................. 24 Activity 18 ............................................................................................. 25 Activity 19 ............................................................................................. 26 Activity 20 ............................................................................................. 26 UNIT 4: DATA HANDLING ............................................................................................... 27 Lesson 9: Interpreting statistics ............................................................................. 27 Activity 21 ............................................................................................. 27 Activity 22 ............................................................................................. 27 Activity 23 ............................................................................................. 27 Activity 24 ............................................................................................. 28 Activity 25 ............................................................................................. 29 Lesson 10: Summarise the data with quartiles and percentiles ............................ 32 Activity 26 ............................................................................................. 32 UNIT 5: MORE FINANCES ............................................................................................... 37 Lesson 11: Hire purchase ..................................................................................... 37 Activity 27 ............................................................................................. 37 Activity 28 ............................................................................................. 37 Lesson 12: Interest................................................................................................ 38 Activity 29 ............................................................................................. 38 Lesson 13: Loans .................................................................................................. 39 Activity 30 ............................................................................................. 39 Activity 31 ............................................................................................. 39 Lesson 14: Annuities and investments .................................................................. 40 Activity 32 ............................................................................................. 40 Lesson 15: Inflation ............................................................................................... 41 Activity 33 ............................................................................................. 41 UNIT 6: MAPWORK .......................................................................................................... 42 Revision activity.................................................................................... 42 Lesson 16: Travel costs ........................................................................................ 44 Activity 34 ............................................................................................. 44 Activity 35 ............................................................................................. 44
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Facilitator’s Guide G12 ~ Mathematical Literacy
Lesson 18: Longitudes and latitudes ..................................................................... 44 Activity 36 ............................................................................................. 44 Activity 37 ............................................................................................. 45 Activity 38 ............................................................................................. 45 Lesson 19: Scales ................................................................................................. 45 Activity 39 ............................................................................................. 45 Application activity ................................................................................ 46 UNIT 7: MEASUREMENT – PERIMETER, AREA, VOLUME ........................................... 47 Lesson 20: Calculating the perimeter .................................................................... 47 Activity 40 ............................................................................................. 47 Lesson 21: Calculate area .................................................................................... 48 Activity 41 ............................................................................................. 48 Lesson 22: Calculate volume ................................................................................ 49 Activity 42 ............................................................................................. 49 Activity 43 ............................................................................................. 52 Lesson 23: Body mass index ................................................................................ 53 Activity 44 ............................................................................................. 53 Lesson 24: Medicine dosage................................................................................. 54 Activity 45 ............................................................................................. 54 Activity 46 ............................................................................................. 55 UNIT 8: FINANCES – TAX, EXCHANGE RATES ............................................................ 56 Lesson 25: Unemployment Insurance Fund (UIF)................................................. 56 Activity 47 ............................................................................................. 56 Lesson 26: Income Tax ......................................................................................... 56 Activity 48 ............................................................................................. 56 Activity 49 ............................................................................................. 57 Lesson 27: Calculate net salary ............................................................................ 57 Activity 50 ............................................................................................. 57 Lesson 28: Exchange rates ................................................................................... 58 Activity 51 ............................................................................................. 58 Activity 52 ............................................................................................. 59 UNIT 9: MAPS AND PLANS ............................................................................................. 60 Lesson 29: Floor plans .......................................................................................... 60 Activity 53 ............................................................................................. 60 Activity 54 ............................................................................................. 60 Lesson 31: Elevations ........................................................................................... 61 Activity 55 ............................................................................................. 61 Lesson 32: Models and instructions ...................................................................... 61 Activity 56 ............................................................................................. 61
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Facilitator’s Guide G12 ~ Mathematical Literacy
UNIT 10: Probability ......................................................................................................... 62 Lesson 33: Probability ........................................................................................... 62 Activity 57 ............................................................................................. 62 Activity 58 ............................................................................................. 63 Lesson 35: Prediction............................................................................................ 65 Activity 59 ............................................................................................. 65 BIBLIOGRAPHY ............................................................................................................... 66
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Facilitator’s Guide G12 ~ Mathematical Literacy
The assessment programme Refer to my.Impaq for assessment tasks, examinations and the assessment plan.
Year planning UNIT
THEME REVIEW OF BASIC SKILLS MEASUREMENT FINANCE DATA HANDLING MORE FINANCES MAPWORK MEASUREMENT (PERIMETER, AREA, VOLUME) FINANCES – TAX & EXCHANGE RATES MAPS AND PLANS PROBABILITY REVISION
1 2 3 4 5 6 7 8 9 10
TERM 1: JANUARY – MARCH
TERM 2: APRIL – JUNE
TERM 3: JULY – AUGUST SEPTEMBER: PRELIMINARY EXAMINATION NOVEMBER: FINAL EXAMINATION
Suggested time to be spent on each unit: Term 1
2
3
Unit 1 2 3 4 5 6 7 8 9 10
Theme Review of basic skills Measurement Finance Data handling More finances Mapwork Measurement (perimeter, area, volume) Finances – tax and exchange rates Maps and plans Probability
Number of weeks Own time/worked in 1 3 5 2 1 4 1 3 2
The time allocation per topic is only a guideline and can be adapted to the pace of candidates. It is nevertheless important to know that the lessons in question have to be completed before tests or examinations can be written.
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Facilitator’s Guide G12 ~ Mathematical Literacy
The time per week that should be spent teaching Mathematical Literacy is 4,5 hours. Note that this excludes all activities, assessments and examinations and is only an indication of the time that must be spent on theoretical aspects. If candidates’ progress is slower than recommended, the necessary adjustments must be made to ensure that candidates master all the work in time. The proposed teaching time per week: SUBJECT TIME ALLOCATION PER WEEK (HOURS) Home Language 4,5 First Additional Language 4,5 Mathematical Literacy 4,5 Life Orientation 2 Three optional subjects: Optional subject 1 4 Optional subject 2 4 Optional subject 3 4 Total 27,5
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Facilitator’s Guide G12 ~ Mathematical Literacy
Unit
UNIT 1: REVIEW OF BASIC SKILLS Part 1: Rounding Activity 1 1. 2. 3. 4. 5.
2,36 0,36 2,00 13,44 234,88
Part 2: Rounding to the nearest 10, 100, 1 000 Activity 2 1. 2. 3. 4.
5.
60 300 1 000 Nearest 10 ≈ 1 360 Nearest 100 ≈ 1 400 Nearest 1 000 ≈ 1 000 Nearest 10 ≈ 2 840 Nearest 100 ≈ 2 800 Nearest 1 000 ≈ 3 000
Part 3: Scientific notation Activity 3
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1.1 1.2 1.3 1.4
4,8 x 106 2,5 x 103 1,2 x 10–7 2,3 x 10–4
2.1 2.2 2.3 2.4
340 000 6 280 000 000 0,0000023 0,0000000045 9
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Facilitator’s Guide G12 ~ Mathematical Literacy
Unit
Part 4: Percentages Activity 4 1.1 1.2
0,35 x R1 500 = R525 0,3333 x R4 500 = R1 500
2.
46
3.
4.
75
Ă— 100 = 61,33% ≈ 61%
Chocolate bars: 115% x R6,25 = R7,19 Sweets: 115% x R3,45 = R3,97 Chips: 115% x R4,20 = R4,83 Soft drink cans: 115% x R5,85 = R6,73
P x 115% = R25 000 P=
25 000 115%
đ?‘œđ?‘œđ?‘œđ?‘œ
25 000 1,15
P = R21 739,13 The cost was R21 739,13 5.
100% - 1,3% = 98,7% P x 98,7% = R12,34 P = R12,34 á 98,7% P = R12,50 Previously we paid R12,50
6.
Percentage reduction **** đ?‘?đ?‘?đ?‘?đ?‘?đ?‘?đ?‘?đ?‘?đ?‘?đ?‘?đ?‘?đ?‘?đ?‘?đ?‘?đ?‘? đ?‘Łđ?‘Łđ?‘Łđ?‘Łđ?‘Łđ?‘Łđ?‘Łđ?‘Łđ?‘Łđ?‘Ł − đ?‘?đ?‘?đ?‘?đ?‘?đ?‘?đ?‘?đ?‘?đ?‘?đ?‘?đ?‘?đ?‘?đ?‘?đ?‘?đ?‘?đ?‘?đ?‘? đ?‘Łđ?‘Łđ?‘Łđ?‘Łđ?‘Łđ?‘Łđ?‘Łđ?‘Łđ?‘Łđ?‘Ł Ă— 100 đ?‘?đ?‘?đ?‘?đ?‘?đ?‘?đ?‘?đ?‘?đ?‘?đ?‘?đ?‘?đ?‘?đ?‘?đ?‘?đ?‘?đ?‘?đ?‘? đ?‘Łđ?‘Łđ?‘Łđ?‘Łđ?‘Łđ?‘Łđ?‘Łđ?‘Łđ?‘Łđ?‘Ł 135 − 235 Ă— 100 235 = – 42,55% ≈ 43% (the minus indicates a reduction)
7.
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36 minutes : 1 hour 36 minutes : 60 minutes 36 Ă— 100 = 60% 60
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Facilitator’s Guide G12 ~ Mathematical Literacy
8.
Unit
𝑐𝑐𝑐𝑐𝑐𝑐𝑐𝑐𝑐𝑐𝑐𝑐𝑐𝑐 𝑣𝑣𝑣𝑣𝑣𝑣𝑣𝑣𝑣𝑣 − 𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝 𝑣𝑣𝑣𝑣𝑣𝑣𝑣𝑣𝑣𝑣 𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝 𝑣𝑣𝑣𝑣𝑣𝑣𝑣𝑣𝑣𝑣
1
× 100 = 6,5%
𝑅𝑅456 − 𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝 𝑣𝑣𝑣𝑣𝑣𝑣𝑣𝑣𝑣𝑣 = 0,065 𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝 𝑣𝑣𝑣𝑣𝑣𝑣𝑣𝑣𝑣𝑣 0,065 × 𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝 𝑣𝑣𝑣𝑣𝑣𝑣𝑣𝑣𝑣𝑣 + 𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝 𝑣𝑣𝑣𝑣𝑣𝑣𝑣𝑣𝑣𝑣 = 𝑅𝑅456 1,065 × 𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝 𝑣𝑣𝑣𝑣𝑣𝑣𝑣𝑣𝑣𝑣 = 𝑅𝑅456 Previous value = R456 ÷ 1,065 Previous value = R428,17 9.
312 workers Male: 312 – 176 = 136 136 312
× 100 = 43,5897 ≈ 44%
44% are male workers
10.
𝑐𝑐𝑐𝑐𝑐𝑐𝑐𝑐𝑐𝑐𝑐𝑐𝑐𝑐 𝑣𝑣𝑣𝑣𝑣𝑣𝑣𝑣𝑣𝑣 − 𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝 𝑣𝑣𝑣𝑣𝑣𝑣𝑣𝑣𝑣𝑣 𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝 𝑣𝑣𝑣𝑣𝑣𝑣𝑣𝑣𝑣𝑣
𝑅𝑅15 457 − 𝑅𝑅14 450 𝑅𝑅14 450
× 100
× 100
= 6,96% Approximately 7% Thabiseng receives more than the average salary. Her salary is in line.
Part 5: Ratios Activity 5 1.1
27 : 33 9 : 11
1.2
3 days : 3 weeks 3 days : 21 days 1:7
1.3
1,3 ℓ ∶ 250 mℓ 1 300 mℓ : 250 mℓ 26 : 5
2.1
“Mix 1 : 4 with water” means that each unit of concentrate should be mixed with 4 units of water.
2.2
1 : 4 (There are 5 parts: 1 + 4 = 5) 1
Concentrate: 5 × 1 000 mℓ = 200 mℓ 4
Water: 5 × 1 000 mℓ = 800 mℓ © Impaq
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Facilitator’s Guide G12 ~ Mathematical Literacy
3.
Mari: Lebo:
12 42 7
2:3 3
5.
2
× R2 310 = R660
× R2 310 = R385
42 23
Gloria: 4.
Unit
42
× R2 310 = R1 265
× 133,45 = R200,18
11 : 7 7
11
Part 6: Rates
× 135 kg = 85,91 kg
Activity 6 1. 2.
€20 000 x R12,18 = R243 600 R63 400 ÷ R12,18 = €5 205,25
Part 7: Proportions Activity 7 1.
a) b) c) d) e) f)
R54,95 R109,90 15 R219,80 25 R329,70
2.
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Facilitator’s Guide G12 ~ Mathematical Literacy
Unit
3.
Directly proportional. As the weight increases, the cost also increases.
4.1
a) b) c) d)
1 000 750 600 60
4.2
4.3
Š Impaq
Indirectly proportional. As the number of people increase, the cost per person reduces.
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Facilitator’s Guide G12 ~ Mathematical Literacy
Unit
UNIT 2: MEASUREMENT Lesson 1: Revision – Measurement Activity 8 1.1 1.2 1.3 1.4 1.5 1.6
3,5 cm 1 580 m 2,085 kg 2,45 t 1 500 mℓ 0,750 ℓ
TL1
2.1 2.2 2.3
3 x 250 mℓ = 750 mℓ 3 x 15 mℓ = 45 mℓ 280 mℓ = 250 mℓ + 30 mℓ = 1 cup and 2 tablespoons
3.1
Flour: 5 mℓ → 3 g 275 × 5
3.2
3
= 458,33 g
TL2
Salt: 5 mℓ → 5,5 g
12,5 × 5,5 5
= 13,75 g
4.1
285 x 1,609 = 458,57 km
4.2
1 kg → 2,205 pounds 12 ÷ 2,205 = 5,44 kg 1 ounce → 28,35 g ounces → 85,05 g
TL2
85,05 ÷ 1 000 = 0,08505 kg Answer: 0,08505 kg + 5,44 kg = 5,53 kg 4.3
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40,5 ÷ 0,264 = 153,41 ℓ
TL3 TL2
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Facilitator’s Guide G12 ~ Mathematical Literacy
Unit
Lesson 2: Time Activity 9a 1.
2.
Ten minutes past ten and forty-three seconds 10:10:43 (morning) of 22:10:43 (evening)
TL2
53 minutes 34,2 seconds
TL2
Activity 9b 1.1
4h28 = 4 hours + (28 ÷ 60) = 4 hours + 0,4666666 = 4,47 hours
TL2
4 hours x 60 minutes = 240 minutes 240 minutes = 268 minutes
TL2
1.3
268 minutes x 60 seconds = 16 080 seconds
TL2
2.
17:25 – 08:45 = 8º40’00” = 8 hours and 40 minutes
TL2
3.
456 x 24 = 10 944 hours
TL2
4.
52 x 4 = 208 weeks
TL2
5.
2 years x 365 days = 730 days 730 days x 24 hours = 17 520 hours 17 520 x 60 = 1 051 200 minutes 1 051 200 x 60 = 63 072 000 seconds
TL3
1.2
Lesson 3: Temperature Activity 10
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1.1
65 ºF ºC = (F – 32) ÷ 1,8 ºC = (65 – 32) ÷ 1,8 ºC = 18,33 ºC
1.2
28 ºC ºF = (1,8 x ºC) + 32 ºF = (1,8 x 28) + 32 ºF = 82,4 ºC 15
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Facilitator’s Guide G12 ~ Mathematical Literacy
1.3
2.1
Unit
–3ºC ºF = (1,8 x ºC) + 32 ºF = (1,8 x –3) + 32 ºF = –5,4 + 32 ≈ 26,6 ℉
TL 2
Imperial → metric 1 mile → 1,609 km 1 ounce → 28,35 g 1 pound (16 ounces) → 453,59 g 1 US gallons (8 pints) → 3,785 ℓ
Length Weight Volume
Castor sugar: 0,5 x 28,35 g ≈ 14,2 g
Milk:
0,75 × 3,785 8
Metric → imperial 1 km → 0,621 miles 1 g → 0,035 ounces 1 kg → 2,205 pounds 1 ℓ = 0,264 US gallons
≈ 0,3548 litre ≈ 354,8 mℓ ≈ 355 mℓ
Cake crumbs: 2 x 28,35 g ≈ 56,7 g
Pitted dates: 0,5 x 453,59 ≈ 226,8 g
Pitted raisins: 0,5 x 453,59 ≈ 226,8 g Peel: 56,7 g
Nutmeg: 15 x 0,2 ≈ 3 mℓ 2.2
Cooking apples: 453,59 g
TL3
ºC = (ºF – 32) ÷ 1,8 ºC = (335 – 32) ÷ 1,8 ºC ≈ 168,33 ℃
TL2
Lesson 4: Travel and timetables Activity 11a
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1.
Thursday
TL1
2.
Departs: 18:30 previous day Arrives: 14:50 following day 14:50 – 18:30 = 20 hours 20 minutes Answer in hours: 20,33 hours
TL2
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Facilitator’s Guide G12 ~ Mathematical Literacy
Unit
3.
00:33 + 27 min = 01:00
TL1
4.
17 + 27 + 30 + 20 + 30 + 8 + 30 = 162 minutes
TL1
5.
đ?‘‘đ?‘‘đ?‘‘đ?‘‘đ?‘‘đ?‘‘đ?‘‘đ?‘‘đ?‘‘đ?‘‘đ?‘‘đ?‘‘đ?‘‘đ?‘‘đ?‘‘đ?‘‘ đ?‘Ąđ?‘Ąđ?‘Ąđ?‘Ąđ?‘Ąđ?‘Ąđ?‘Ąđ?‘Ą
= đ?‘ đ?‘ đ?‘ đ?‘ đ?‘ đ?‘ đ?‘ đ?‘ đ?‘ đ?‘
842 km á 17,6 hours = 47,84 km/h 6.
2
TL2
The train arrives in Brandfort at 10:25. It takes 5 minutes to walk to the bus stop. Therefore, the time is 10:30. The bus departs at 11:00. There is enough time to catch the bus. TL4
Activity 11b 1.
Children shorter than 1,1 m and younger than 4 years
TL1
2.
R24,00
TL1
3.1 3.2 3.3
R24 + R10 = R34,00 for one trip R24 + (5 x 10) = R74,00 R24 + (10 x 10) = R124,00
TL2
Lesson 5: Tide timetables Activity 12 1.
TL1
2.
Because high tide is at 12:13 on the following day, 15 February. TL2
3.
The longer peaks indicate high tide and the shorter peaks indicate low tide.
4.
Š Impaq
High tide: 11:19 in the afternoon and 12:13 in the evening Low tide: 5:52 in the evening
TL4
No, most high tides are in the afternoon when he is still at work. He can only ride waves when they are big and high. (See the candidate’s answer. If the reason is valid, the candidate may be awarded the mark.) TL4
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Facilitator’s Guide G12 ~ Mathematical Literacy
Unit
UNIT 3: FINANCE Revision activity 1.1
3 x R14,95 = R44,85
TL 1
1.2
R97,65 á R13,95 = 7 bangles
TL 1
1.3
R24,95 – R21,70 = R3,25
TL 2
1.4
100
TL 2
115
Ă— R167,45 = R145,61
OR
Candidate can also use the formula
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calculate the amount, excluding VAT.
Ă— 100 = 15% to
2.1
R28 955,47
TL 1
2.2
A: R31 194,57 – R850,00 = R30 344,57 B: R33 798,11 – R33 540,64 = R257,47
TL 2
2.3
31,04
2 239,10
Ă— 100 = 1,39%
TL 2 TL 1
3.1
≈ 2 weeks
R18 618,75 – R800,00 = R17 818,75
TL 2
3.2
R17 818,75 x 12 = R213 825,00
TL 2
3.3
R4 034,27
TL 1
3.4
R18 618,75 – R4 034,27 = R14 584,48
TL 2
4.1
A. B. C.
TL 1
2.4
4.2.1
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đ?‘?đ?‘?đ?‘?đ?‘?đ?‘?đ?‘?đ?‘?đ?‘?đ?‘?đ?‘?đ?‘?đ?‘?đ?‘?đ?‘?đ?‘?đ?‘? đ?‘Łđ?‘Łđ?‘Łđ?‘Łđ?‘Łđ?‘Łđ?‘Łđ?‘Łđ?‘Łđ?‘Ł
R1 750,00 R2 450,00 R3 500,00
Because Thomas has fixed expenses of R1 450.
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TL 1
3
Facilitator’s Guide G12 ~ Mathematical Literacy
4.2.2
Unit
There are variable expenses that should be added to the fixed expenses.
TL 4
4.2.3
Break-even point
TL 1
4.2.4
50 cars
TL 2
4.2.5
Profit = Income – expenses Profit = (35 × 35) – (1 450 + (35 × 5)) Profit = R1 225,00 – R1 625,00 Profit = – R400,00 Therefore, it is a loss.
TL 2
Profit = R7 875,00 – R2 575,00 Profit = R5 300,00
TL 2
4.2.6
Lesson 6: Break-even analysis Activity 13 1.
2.
Call-a-Printer: T = R500,00 + 0,3n Rent-a-Printer: T = R300,00 + 0,4n Perfect Print: T = 0,6 x n
TL 2
A: R500,00 + (0,3 x 1 000) = R800,00 B: R300,00 + (0,4 x 1 500) = R900,00 C: 0,6 x 2 000 = R1 200,00 D: 2 300 = 500 + 0,3n 1 800 = 0,3n n = 6 000 OR 3 600 = 0,6n n = 6 000 OR 2 700 = 300 + 0,4n 2 400 = 0,4n n = 6 000
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TL 3
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3