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Question P4–P5–P6 Constant total

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Mrs Tan and her son — money made equal

Mrs Tan had 4 times as much money as her son. After she gave him $18, the two of them had the same amount of money. How much money did Mrs Tan have at first?

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About this method

Constant total

Money moves between two people, so their total never changes.

In this one. A transfer does not change the combined total, so the same 5 units are re-split equally, and Mrs Tan's drop in units represents the $18 she gave away.

Before4 shares in allAlithis one movesBenAfter4 shares in allAliBenarrived here

How to spot it

One person gives, sells or loses an amount to the other, and nobody outside the two people gains or loses anything.

Common mistake

Children draw different totals before and after, or forget that moving an amount from one person to the other changes the gap between them by twice that amount.

Practise a similar question

Standard Ali had 3 times as many marbles as Ben. After Ali gave 24 marbles to Ben, the two boys had the same number of marbles. How many marbles did Ali have at first?
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