SOLUTION: Kelly has a purse full of quarters and dimes. There are 58 more quaters than dimes and the total value of the change is $19.05. How many dimes are there?

Question 125537: Kelly has a purse full of quarters and dimes. There are 58 more quaters than dimes and the total value of the change is $19.05. How many dimes are there?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Kelly has a purse full of quarters and dimes. There are 58 more quaters than dimes and the total value of the change is $19.05. How many dimes are there?
:
Let x = no. of dimes
then
(x+58) = no. of quarters
:
.10x + .25(x+58) = 19.05
:
.10x + .25x + 14.5 = 19.05
:
.35x = 19.05 - 14.5
:
.35x = 4.55
x =
x = 13 dimes
:
:
Find the number of quarters and check the solution:
13 + 58 = 71 quarters
.10(13) + .25(71) =
1.30 + 17.75 = 19.05
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