Question P5–P6 Repeated identity
Helen and Ivan have the same total number of coins
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One length or count, described two ways in the same question.
In this one. When two collections have the same total count, subtract them: everything matching cancels and only the 40 swapped coins are left to compare — so you never need a total you cannot find.
A shape or count is described from two viewpoints in the same question, such as one edge measured as a number of long pieces and again as a number of short pieces.
Children treat the two descriptions as separate quantities and add them. Both describe the same quantity, so the two must be equal.
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