Question 1012502: While cleaning out his school backpack, Phil found $4.90 in change. More precisely,
he finds that the number of nickels is double that of quarters and that there are 4 dimes more than the number of quarters. How many dimes did Phil find at the bottom of his bag?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! While cleaning out his school backpack, Phil found $4.90 in change. More precisely, he finds that the number of nickels is double that of quarters and that there are 4 dimes more than the number of quarters. How many dimes did Phil find at the bottom of his bag?
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Quantity Equation::
n = 2q
d = q+4
5n + 10d + 25q = 490 cents
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Modify::
n + 2d + 5q = 98
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Substitute::
2q +2q+8 + 5q = 98
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9q = 90
q = 10 (# of quarters)
n = 2q = 20 (# of nickels)
d = q+4 = 14 (# of dimes)
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Cheers,
Stan H.
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