SOLUTION: A group of twenty-five coins, whose total value is $2.75, is composed of nickels, dimes, and quarters. If the nickels were dimes, the dimes were quarters, and the quarters were nic

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Question 1068752: A group of twenty-five coins, whose total value is $2.75, is composed of nickels, dimes, and quarters. If the nickels were dimes, the dimes were quarters, and the quarters were nickels, the total would be $3.75. How many quarters are there in the collection?
Answer by Fombitz(32388) About Me  (Show Source):
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N%2BD%2BQ=25 Total number of coins
5N%2B10D%2B25Q=275 Total value of coins
.
.
5Q%2B10N%2B25D=375 Total value of coins if they were switched
10N%2B25D%2B5Q=375
.
.
Using Cramer's rule,
N=10
D=10
Q=5