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Betty will receive 3 shares (3 times Chris’s share) Thus the total prize is to be shared 6 ways (1+2+3) So one share will be £1200 divided by 6 i.e £200 Chris will receive £200, Ann £400 (2 times Chris’s share), and Betty £600 (3 times Chris’s share) Check that the shares (£200 +£400 + £600) total £1200 Different phraseology of this question could be..... £1200 is to be shared out between Chris, Ann and Betty, in the RATIO of 1:2:3 respectively. How much will each receive? Example 2 A school collected money for a new laboratory, using three methods, raffle, sponsored walk and fete. The total collected was £5200 in the ratio of 5:2:3 for each method in the order - raffle, walk, fete. How much did each method raise? i. 5:2:3 expresses the proportions (‘shares’) ii. The total number of shares is 5+2+3 i.e. 10 iii. The total collected was £5200 iv. Each share was £5200/10 i.e. £520 v. The raffle raised 5 ‘shares’ of £520 i.e. £2600 The walk raised 2 ‘shares’ of £520 i.e. £1040 The fete raised 3 ‘shares’ of £520 i.e. £1560 vi. CHECK the total by addition i.e. £5200 Try these questions: i. 5 brothers inherit a total of £70000 in the proportions 1:1:2:3:3 How much did each receive? ii. In a darts game Ben scored twice as many points as Alan. Chris scored three times as many as Ben. Doug scored half as many as Chris. The total number of points of the 4 players added together was 480. How many points did each player score? Answers on page 20 ANSWERS SECTION 1 – DECIMALS Question2 decimal places2 significant figures 110.1310 215.3215 315.5216 4164.67160 58.808.8 61.801.8 7161.33160 81.021.0 925.6826 1010.8011 1122.2222 12318.75320 1351.2151 142.472.5 1519.5320 162.332.3 1783.3383 18106.38110 SECTION 2 – FRACTIONS 1. 11/152. 27/403. 1 7/24 = 31/24 4. 58/995. 26/636. 13/24 7. 7/8 8. 1 7/12 = 19/129. 9 27/40 = 387/40 10. 8/1511. 8/2712 7/15 13. 4/3 14. 5/2215. 16/21 16. 7 7/8 = 63/817. 11 11/35 = 396/3518. 16 8/27 = 440/27 19. 2 1/57 = 115/5720. 25/62 21. 10/13 22. 6 ¾ = 27/423. 19 8/21 = 407/2124. 14 SECTION 4 – AVERAGES 1. 4.43 2. 59.11 3. 7 4. 16.5 5. 112.8 6. Group A = 11.9, Group B = 11.6 so the answer is Group A (just!) 7. Overall average = 122/30 = 4.067. Day 1 average = 41/10 = 4.1. Day 2 average = 48/10 = 4.8 Day 3 average = 33/10 = 3.3, so Day 2 has the worst overall average. On Day1, 2 students were more that 5 minutes late, Day2 = 5 students and Day 3 = 1 student so Day 2 is also the day on which most students were more that 5 minutes late. SECTION 5 – PERCENTAGES i. £16 v. 3.15 ix. 58% ii. 2.5% vi. £243 x.a 20.781 iii. 5/16 vii. 0.6% x.b 3958 iv. 5 viii. 0.0025 x.c 3% SECTION 6 – RATIOS i. 7,000, 7,000, 14,000, 21,000, 21,000 ii. Alan 40, Ben 80, Chris 240 and Doug 120 （责任编辑：职场达人） |
