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Question P6 Units and parts

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Ben, Mei, and Farid share a cash prize in the ratio 3 : 5 : 8.

Ben, Mei, and Farid share a cash prize in the ratio 3 : 5 : 8. Farid's share is $60 more than Ben's share. Find the total prize money.

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About this method

Units and parts

Cut one amount into equal shares. One number tells you what a share is worth.

In this one. The $60 is not one person's share; it is the value of the 5-unit gap between Farid's 8 units and Ben's 3 units.

In allone share

How to spot it

A single amount is split by a ratio, a fraction or a percentage. One extra number gives you the leftover, the difference, or the value of one share.

Common mistake

Children match the given number to the wrong number of shares, using the whole bar when the number covers only the leftover or the difference between two people's shares.

Practise a similar question

Standard A bicycle shop increased the price of a bicycle from $650 to $780. What is the percentage increase?
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