Question 388513
a collection of 35 coins contains nickels and quarters. find the number of nickels given that the total face value of the coins is $2.55.
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Quantity: n + q = 35 coins
Value:: 5n+ 25q = 255 cents
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Divide thru the Value Eq. by 5:
n + 5q = 51
n +  q = 35
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Subtract and solve for "q":
4q = 16
q = 4 (# of quarters)
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Since n + q = 35, n = 31 (# of nickels)
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Cheers,
Stan H.