Simone has a collection of coins consisting of 1 quarter, 1 nickel and 1 penny. Using at least two coins from the collection, how many different sums of money are possible?
To find the different sums of money, I need to add the values of the coins in different combinations. The values of the coins are 25 cents, 5 cents and 1 cent. Using two coins, I can make 26 cents (quarter and penny), 30 cents (quarter and nickel) or 6 cents (nickel and penny). Using all three coins, I can make 31 cents. So there are four different sums of money possible: 6 cents, 26 cents, 30 cents and 31 cents. 