SOLUTION: If I have 35 dimes and quarters that equal $6.95. How many dimes do I have? How many quarters do I have?

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Question 257596: If I have 35 dimes and quarters that equal $6.95. How many dimes do I have? How many quarters do I have?
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
If I have 35 dimes and quarters that equal $6.95. How many dimes do I have? How many quarters do I have?
.
Let x = quarters
then
35-x = dimes
.
.25x + .10(35-x) = 6.95
.25x + 3.5-.10x = 6.95
.15x + 3.5 = 6.95
.15x = 3.45
x = 3.45/.15
x = 23 (quarters)
.
Dimes:
35-x = 35-23 = 12