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?
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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