# SOLUTION: A coin purse contains 24 coins in dimes, quarters and half-dollars. There are five more dimes than quarters. The total value of the coins is \$5.45. How many dimes are in the coin

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 Question 10153: A coin purse contains 24 coins in dimes, quarters and half-dollars. There are five more dimes than quarters. The total value of the coins is \$5.45. How many dimes are in the coin purse? I'm thinking it should be set up like 10q+50+25q+50H=545. It doesn't come out right. Where is my mistake here? Also the other part I think is suppose to be d+d+5+h=24. I've worked it 6 different ways and still it doesn't work out. I have a furmula but for some reason following that doesn't help. Answer by mathmaven53(29)   (Show Source): You can put this solution on YOUR website!D is dimes,Q is quarters, H is half dollars We have D + Q + H = 24 D = Q + 5 The value of the coins is 10D + 25Q + 50H = 545 By the first two equations 2Q +5 + H = 24 1) 2Q + H = 19 By the second and third equations 10(Q+5) + 25Q + 50H = 545 This can be reduced to 2) 7Q + 10H = 99 Solve 1) and 2) for Q Q = 7 Then D = Q + 5 = 12 By 1) H = 19 - 2Q = 5 Twelve dimes in purse