SOLUTION: In your piggy bank, you have $6.80, which is a combination of 39 coins(quarters and dimes only). Is it possible to have 39 coins of quarters and dimes only? I been puzzling myself

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Question 932829: In your piggy bank, you have $6.80, which is a combination of 39 coins(quarters and dimes only).
Is it possible to have 39 coins of quarters and dimes only? I been puzzling myself trying to figure out how many quarters and dimes and still equal to 39 coins.please help us.
Found 2 solutions by josgarithmetic, stanbon:
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
q and d for how many quarters and how many dimes.


system%28q%2Bd=39%2C0.25q%2B0.10d=6.80%29

system%28q%2Bd=39%2C5q%2B2d=136%29

system%282q%2B2d=78%2C5q%2B2d=136%29

3q=136-78

3q=58
q=19%261%2F3, nonwhole. You are correct.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
In your piggy bank, you have $6.80, which is a combination of 39 coins(quarters and dimes only).
Is it possible to have 39 coins of quarters and dimes only?
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Equations::
Quantity of coins: d + q = 39 coins
Value of the coins 10d + 25q = 680 cents
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Modify::
10d + 10q = 10*39
10d + 25q = 680
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Subtract and solve for "q":
15q = 290
q = 19 1/3 (not a realistic number of quarters)
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Ans: It is not possible.
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Cheers,
Stan H.
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