SOLUTION: 1) Diana has a total of 100 dimes and quarters. If the total value of the coins is $13.75, how many quarters does she have?
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Question 434984: 1) Diana has a total of 100 dimes and quarters. If the total value of the coins is $13.75, how many quarters does she have?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Diana has a total of 100 dimes and quarters.
If the total value of the coins is $13.75, how many quarters does she have?
:
Write two equations, we will use substitution here
:
total coin equation
d + q = 100
d = (100-q)
and
total value equation
.10d + .25q = 13.75
Replace d with (100-q)
.10(100 - q) + .25q = 14.75
10 - .10q + .25q = 13.75
.15q = 13.75 - 10
.15q = 3.75
q =
q = 25 quarters
:
I'll let you find the number of dimes, check the solutions in the value equation
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