Question 728459: cody's bank contains $4.30 in nickels, dimes and quarters there are 38 coins in all, with 6 more nickels than quarters how many dimes are there
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! cody's bank contains $4.30 in nickels, dimes and quarters there are 38 coins in all, with 6 more nickels than quarters how many dimes are there
Quantity Eq: n + d + q = 38 coins
Quantity Eq: n = q + 6
Value Eq::: 5n +10e+25q = 430 cents
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Rearrange
d + q + q+6 = 38
5(q+6)+10d + 25q = 430
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Simplify:
d + 2q = 32
10d+30q = 400
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Modify for Elimination:
d + 2q = 32
d + 3q = 40
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Subtract to solve for "q";
q = 8 (# of quarters)
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Solve for "d":
d + 2q = 32
d + 16 = 32
d = 16 (# of dimes)
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Cheers,
Stan H.
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