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Question P6 Constant part

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Toy cars and robots — after some robots are sold

A toy store had 280 more toy cars than toy robots. After 140 toy robots were sold, the ratio of the number of toy robots to the number of toy cars was 2 : 7. How many toy cars were there?

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About this method

Constant part

The ratio changes, but one person's amount stays the same.

In this one. The cars are never touched, so selling 140 robots widens the 280 gap by exactly 140 — and that new gap of 420 is what the ratio's 7 − 2 = 5 units measure.

BeforeAliBenAfterAli never changesAlisame as beforeBengained 2

How to spot it

A ratio changes and the question tells you only one person gained or lost an amount, while the other kept what they had.

Common mistake

Children keep the same number of shares for the person whose amount did not change. The amount stays the same, but the size of a share can differ between the two ratios.

Practise a similar question

Challenging The ratio of Ali's savings to Ben's savings was 3 : 5. After Ali saved another $24, the ratio became 9 : 10. How much did Ali have at first?
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