SOLUTION: There were 40 dimes and quarters in the drawer. Peggy counted them and found that their total value was $4.75. How many coins of each type were there?

Question 948397: There were 40 dimes and quarters in the drawer. Peggy counted them and found that their total value was $4.75. How many coins of each type were there?
Found 2 solutions by josgarithmetic, stanbon:
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!

The money equation:

Simplified system of equations

Do the rest.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
There were 40 dimes and quarters in the drawer. Peggy counted them and found that their total value was $4.75. How many coins of each type were there?
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Quantity:: d + q = 40 coins
Value::::10d+25q = 475 cents
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Modify::
2d + 2q = 80
2d + 5q = 95
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Subtract and solve for "q"::
3q = 15
q = 5 (# of quarters)
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Solve for "d"::
d = 40-5 = 35 (# of dimes)
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Cheers,
Stan H.
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