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Problem 417

Combinatorics Difficulty 2.0 Find the answer UKMT Junior Mathematical Challenge · United Kingdom · 2016

Three boxes under my stairs contain apples or pears or both. Each box contains the same number of pieces of fruit. The first box contains all twelve of the apples and one-ninth of the pears. How many pieces of fruit are there in each box?

(A) $14$ (B) $16$ (C) $18$ (D) $20$ (E) $36$

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