Question Repeated identity
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Mei bought some cookies and gave half of them to Wei. Wei bought some jellybeans and gave half of them to Mei. Mei ate 8 jellybeans and Wei ate 12 cookies. The ratio of Mei's jellybeans to cookies becomes 1:6 and the ratio of Wei's jellybeans to cookies becomes 1:4. How many jellybeans did Wei buy?
Answer
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One length or count, described two ways in the same question.
In this one. Use the identical jellybean stash to express Wei's 1p in Mei's 1u, then read their identical cookie stash entirely in u.
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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