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.

Algebra ->  Problems-with-consecutive-odd-even-integers -> 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.      Log On


   

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) About Me  (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