Question P6 Constant total
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Maya and Liam had stickers in the ratio 7 : 5. After Maya gave 18 stickers to Liam, the ratio became 5 : 7. How many stickers did Maya have at first?
Answer
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Money moves between two people, so their total never changes.
In this one. Giving stickers from Maya to Liam keeps their combined total unchanged, so the two equal 12-part totals make Maya's 2-part decrease exactly the 18 stickers transferred.
One person gives, sells or loses an amount to the other, and nobody outside the two people gains or loses anything.
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.
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