Question P4–P5–P6 Constant total
Today’s problem — free all day, every step. Every day has one.
Mei had 5 times as many stickers as Priya. After Mei gave 40 stickers to Priya, the two girls had the same number of stickers. How many stickers did Mei have at first?
Answer
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Money moves between two people, so their total never changes.
In this one. A transfer keeps the combined total unchanged, so the equal final amounts re-split the original 6 units into 3 units each; Mei's 2-unit drop is the 40 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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