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Question P6 The equal concept

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370 visitors — who bought a raffle ticket

A charity fun fair had 370 visitors, made up of children and adults. of the children and of the adults bought a raffle ticket. The number of children who did not buy a raffle ticket is twice the number of adults who did not buy one. How many adults did not buy a raffle ticket?

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About this method

The equal concept

The question tells you a part of one pile equals a part of another.

In this one. Make the numerator the same. The matching numerator 6 makes one group on each side the same size; then the denominator gives the total number of same-sized units, so children : adults = 27 : 10.

the two shaded parts are the same sizePile Aa third of APile Ba fifth of B

How to spot it

Two different groups each get their own fraction or percentage, and the question links them with 'the same as', 'twice as many as', or a shared cost across different units.

Common mistake

Children compare the two fractions without first relating them to a common whole. A smaller fraction of a larger group can be bigger than a larger fraction of a smaller group.

Practise a similar question

Challenging A factory has 810 workers, made up of assembly-line workers and packing workers. 7/12 of the assembly-line workers and 8/9 of the packing workers finished their shift on time. The number of assembly-line workers who did …
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