Question P6 Repeated identity
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Aisha bought some hair clips and gave half of them to Priya. Priya bought some bracelets and gave half of them to Aisha. Aisha lost 5 bracelets and Priya lost 6 hair clips. The ratio of Aisha's bracelets to hair clips becomes 1:4 and the ratio of Priya's bracelets to hair clips becomes 1:3. How many bracelets did Priya buy?
Answer
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One length or count, described two ways in the same question.
In this one. Splitting each original collection in half and swapping makes both girls' holdings identical before the losses, so the same hair-clip amount can be written in two ways.
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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