SOLUTION: Penelope has several coins, all nickels and quarters in her piggy bank. The total amount of money that she has is $15.65. If Penelope has 13 more nickels than quarters, how many qu

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Question 235319: Penelope has several coins, all nickels and quarters in her piggy bank. The total amount of money that she has is $15.65. If Penelope has 13 more nickels than quarters, how many quarters does she have?


Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Penelope has several coins, all nickels and quarters in her piggy bank. The total amount of money that she has is $15.65. If Penelope has 13 more nickels than quarters, how many quarters does she have?
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Quantity Eq:::: n = q + 13
Value Eq::::::: 5n + 25q = 1565 cents
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Substitute for n and solve for q:
5(q+13) + 25q = 1565
30q + 65 = 1565
30q = 1500
q = 50 (# of quarters)
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Cheers,
Stan H.