SOLUTION: A purse contains $3.65 in quarters and dimes. There are 9 more quarters that dimes. Find the number of quarters and dimes.
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Question 764586: A purse contains $3.65 in quarters and dimes. There are 9 more quarters that dimes. Find the number of quarters and dimes.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A purse contains $3.65 in quarters and dimes. There are 9 more quarters that dimes. Find the number of quarters and dimes.
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Equations::
Quantity Eq: q = d + 9
Value Eq:::25q+10d = 365 cents
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Rearrange:
q - d = 9
25q+10d = 365
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Modify for elimination:::
25q - 25d = 225
25q + 10d = 365
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35d = 140
d = 4 (# of dimes)
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Solve for "q":
q = d + 9
q = 4 + 9 = 13 (# of quarters)
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Cheers,
Stan H.
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