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UKMT Pink Kangaroo, 2018

Algebra Difficulty 2.0 Junior Find the answer United Kingdom

Peter wanted to buy a book, but he didn't have any money. He bought it with the help of his father and his two brothers. His father gave him half of the amount given by his brothers. His elder brother gave him one third of what the others gave. The younger brother gave him 10 euros. What was the price of the book?

(A) $24\text{ euros}$ (B) $26\text{ euros}$ (C) $28\text{ euros}$ (D) $30\text{ euros}$ (E) $32\text{ euros}$

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