Question 309316: Araceli goes to the bank to get $10 worth of change. She requests twice as many
quarters as half-dollars, twice as many dimes as quarters, three times as many nickels as dimes, and no pennies or dollars. What is the total number of dimes and nickels?
a. 80 b. 30 c. 10 d. 2 e. 5
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Araceli goes to the bank to get $10 worth of change. She requests twice as many
quarters as half-dollars, twice as many dimes as quarters, three times as many nickels as dimes, and no pennies or dollars. What is the total number of dimes and nickels?
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Equations:
50h + 25q + 10d + 5n = 1000 cents
q = 2h
d = 2q = 4h
n = 3d = 6q = 12h
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Substitute and solve for "h":
50h + 25(2h) + 10(4h) + 5(12h) = 1000
300h = 1000
h = 10/3 (# of half-dollars)
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Comment: This does not make sense as the the number should be a whole number.
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Cheers,
Stan H.
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a. 80 b. 30 c. 10 d. 2 e. 5
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