jmc

Question

A roll of quarters contains 40 quarters and a roll of dimes contains 50 dimes. James has a jar that contains 83 quarters and 159 dimes. Lindsay has a jar that contains 129 quarters and 266 dimes. James and Lindsay pool these quarters and dimes and make complete rolls with as many of the coins as possible. In dollars, how much are the leftover quarters and dimes worth?

Accepted Answer

We use residues of the numbers of each type of coin to determine the number of dimes and quarters leftover: arrayrcrcr 83 + 129 && 3 + 9 && 12 40 159 + 266 && 9 + 16 && 25 50 array The total value of the leftover quarters and dimes is 12(0.25) + 25(0.10) = 3.00 + 2.50 = $5.50.