MathDB
2012-2013 Winter OMO #10

Source:

January 16, 2013
Online Math Open

Problem Statement

At certain store, a package of 3 apples and 12 oranges costs 5 dollars, and a package of 20 apples and 5 oranges costs 13 dollars. Given that apples and oranges can only be bought in these two packages, what is the minimum nonzero amount of dollars that must be spent to have an equal number of apples and oranges?
Ray Li