O-LevelMathematicsNumber4024/21 · May/June 2017 · Q14 Marks
Trevor has a collection of 54 toy vehicles. Of these, 24 are cars, 12 are vans and the rest are trucks.
- (a)Write the ratio of cars to vans to trucks in its simplest form.[2]
- (b)Trevor decides that it is time to reduce his collection of vehicles. He sells c cars, v vans and t trucks. He finds that the ratio of cars to vans to trucks is now 2 : 2 : 1. Find c, v and t, given that he has sold • at least one of each type of vehicle • the smallest possible number of vehicles.[2]
Mark scheme
Marking points from the official mark scheme (May/June 2017). The mark or mark type is shown in brackets.
- [2] 4:2:3 final answer
- [1] B1 for 24: 12 : 54–(24+12) or 12 : 6 : 9
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