SOLUTION: Tom, Harry, and George want to pool their money to buy a pizza, but all they have are coins. Tom has saved dimes, George has saved quarters, and Harry has saved on nickels. Tom has

Question 1099174: Tom, Harry, and George want to pool their money to buy a pizza, but all they have are coins. Tom has saved dimes, George has saved quarters, and Harry has saved on nickels. Tom has 8 more coins than George has, and Harry has two more than twice the number of coins that George has. If they have exactly enough to purchase the pizza, which costs $11.70, how many quarters, dimes, and nickels do they have?
Answer by jorel1380(3719) (Show Source): You can put this solution on YOUR website!
Let g be the number of quarters that George has. Then Tom has g+8 dimes, and Harry has 2g+2 nickels. Then
25g+10(g+8)+5(2g+2)=1170
25g+10g+80+10g+10=1170
45g=1080
g=24 quarters
g+8=32 dimes
2g+2=50 nickels
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