Question 524072
n = number of nickels
5n = value of nickels in cents
d = number of dimes
10d = value of dimes in cents
q = number of quarters
25q = value of quarters in cents
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5n + 10d + 25q = 450 cents
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d = 2n
q = n+2
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5n + 10(2n) + 25(n+2) = 450
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5n + 20n +25n +50 = 450
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50n = 400
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n = 8
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d = 2(8) = 16
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q = n+2 = 10
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Check the values
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5*8 = 40 cents
10*16 = 160 cents
25*10 = 250 cents
40 + 160 + 250 = 450 cents
Correct.
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Answer: 8 nickels, 16 dimes, and 10 quarters.
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Done.