Question 759054: Michael has nickels, dimes and quarters in his pocket worth $5.25. He has twice as many nickels as quarters, and he has four times as many times as quarters. Altogether he has 49 coins in his pocket. What is the number of nickels, dimes and quarters. Solving by using an queation
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Michael has nickels, dimes and quarters in his pocket worth $5.25. He has twice as many nickels as quarters, and he has four times as many dimes as quarters. Altogether he has 49 coins in his pocket. What is the number of nickels, dimes and quarters. Solving by using an queation
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Value Eq::::: 5n + 10d + 25q = 525 cents
Quantity:::: n = 2q
Quantity::: d = 4q
Quantity::: n + d + q = 49
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Substitute to solve for "q":
2q + 4q + q = 49
7q = 49
q = 7 (# of quarters)
n = 2q = 14 (# of nickels)
d = 4q = 28 (# of dimes)
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Cheers,
Stan H.
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