SOLUTION: Melena Fenn found some coins while looking under her sofa pillows. There were equal numbers of nickels and quarters and twice as many half-dollars as quarters. If she found $2.60

Question 213982This question is from textbook mathematical ideas
: Melena Fenn found some coins while looking under her sofa pillows. There were equal numbers of nickels and quarters and twice as many half-dollars as quarters. If she found $2.60 in all, how many of each denomination of coin did she find?
I know she has 4 half-dollars, 2 quarters and, 2 nickels. I cannot get the equation right to show my work. If I don't show my equation, I won't get the points for it. I just need to know how to set it up and I can solve it. My instructor however is not one to explain anything and ignores my emails. I really appreciate any help! Thanks a lot.
Liz This question is from textbook mathematical ideas

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
There were equal numbers of nickels and quarters
n = q
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and twice as many half-dollars as quarters.
h = 2q
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If she found $2.60 in all, how many of each denomination of coin did she find?
Value equation: 5n + 10d +25q + 50h = 260 cents
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Replace n by q
Replace h by 2q
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Solve
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Cheers,
Stan H.
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