2012 CEMC Gauss (Grade 8) Problems/Problem 5

Problem

How many more coins does it take to make one dollar (100) using only nickels(5 coins) than it takes to make one dollar using only dimes(10 coins)?

Solution

Since a dollar is cents and a nickel is cents, there are nickels in a dollar.

Using this logic for dimes and the fact that a dime is cents, there are dimes in a dollar.

Thus, it takes more coins to make a dollar using only nickels than it takes to make one dollar using only dimes.

~anabel.disher