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Question P4–P5–P6 Constant total

Marbles — equal after a transfer

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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Answer

72 marbles.

✎  3 practice questions
About this method

Constant total

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

In this one. A transfer (unlike spending) leaves the total unchanged, so "equal after" just means re-splitting that same total of units evenly — and comparing how many units one side gained or lost tells you what a single unit is worth.

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 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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