Make a List #9

ML #10

Hints and answers

Which is greater : $ 5.00, or the total value of all combinations of three coins you can make using only pennies, nickels, dimes, and quarters?


This might remind you of the problem we did a couple weeks ago about making change for 50 cents. And it is similar, in the sense that you need to make a systematic list of all the combinations of three coins.

But before you start, think ahead: If $5 is greater, then you will have to list all the coin possibilities and add them up to prove it. But if the total of the coin possibilities is greater, you only have to list enough of them to add up to more than $5. So, in the course of making your systematic list, you will want to list the biggest combinations (like three quarters for 75 cents) first.

As always, be sure to explain the work you did to arrive at your answers!