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Question P6 The equal concept

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Training workshop — men and women who didn't attend

A company has 880 employees, made up of men and women. of the men and of the women attended a training workshop. The number of men who did not attend is three times the number of women who did not attend. How many women did not attend the workshop?

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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. Scale 1/6 to 3/18 so both non-attending fractions have the same numerator: matching numerators create equal-sized units, so the denominators reveal the ratio of the two whole groups.

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 charity fun fair had 370 visitors, made up of children and adults. 7/9 of the children and 7/10 of the adults bought a raffle ticket. The number of children who did not buy a raffle ticket is twice the number of adults…
All 5 with this pattern →
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