SOLUTION: nineteen coins consisting of quarters and half-dollars amount to 6.50. find the amount of coins of each kind.

Question 435032: nineteen coins consisting of quarters and half-dollars amount to 6.50. find the amount of coins of each kind.
Found 2 solutions by stanbon, robertb:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
nineteen coins consisting of quarters and half-dollars amount to 6.50. find the amount of coins of each kind.
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Quantity Eq.:: q + h = 19
Value Eq:::: 25q+50h = 650 cents
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Multiply thru 1st by 25 to get:
25q+25h = 25*19
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Subtract that from the Value Eq and solve for "h":
25h = 650-25*19
25h = 175
h = 7 (# of half-dollar coins)
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Solve for "q"
q+h = 19
q+7 = 19
q = 12 (# of quarters)
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Cheers,
Stan H.
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Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
0.25q + 0.50(19-q) = 6.50
==> 0.25q + 9.5 - 0.50q = 6.5
==> -0.25q = -3
==> q = 12, the number of quarters, and
19-q = 19-12 = 7, the number of half-dollars.
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