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APMOPS 2006 Question 4

APMOPS · APMOPS 2006

Question 4

Both Jane and Mary had a sum of money each. They wanted to buy a Mathematics book. They were each short of 52 dollars and 2 dollars respectively and after pooling their money together they still could not afford the book. Given that the price of the book is a whole number, how much did the book cost? Enter the price in dollars.

Editorial convention: each girl initially has a positive amount of money, as intended by the supplied key.