SOLUTION: the total value of the dimes and quarters in a bank is $6.05. there are six more quarters than dimes. find the number of each type of coin in the bank.

Question 360949: the total value of the dimes and quarters in a bank is $6.05. there are six more quarters than dimes. find the number of each type of coin in the bank.
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!



Hi, 

Let x represent the number of dimes.  Then the number of quarters is (x+6)

10x + 25(x+6) = 605 cents

solve for x

35x + 150 = 605

35x = 455

x = 13

13 dimes and (13+6) Or 19 quarters

checking our answer

10*13 + 25*19 = 130 + 475 = 605cents 

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