Mathematics 4024 · O Level · Ratio and proportion

Ratio and proportion — practice question

Trevor owns 54 toy vehicles altogether. Among them, 24 are cars, 12 are vans, and the remainder are trucks.
(a)[2]

Write the ratio of cars to vans to trucks in lowest terms.

(b)[2]

Trevor decides that his collection of vehicles has become too large, so he sells $c$ cars, $v$ vans and $t$ trucks. After the sale, the ratio of cars to vans to trucks is $2:2:1$. Find $c$, $v$ and $t$, given that he has sold at least one of each type of vehicle and that the total number sold is as small as possible.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: The correct simplified ratio is $4:2:3$.

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