SOLUTION: Katie has a collection of nickels, dimes and quarters with a total value of
$7.05 There are 7 more dimes than nickels and 3 more quarters than nickels, how many of each coin does
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Question 1023930: Katie has a collection of nickels, dimes and quarters with a total value of
$7.05 There are 7 more dimes than nickels and 3 more quarters than nickels, how many of each coin does she have?
Answer by CubeyThePenguin(3113) (Show Source): You can put this solution on YOUR website!
n = number of nickels
d = number of dimes
q = number of quarters
d = n + 7
q = n + 3
5n + 10d + 25q = 705
Write everything in terms of n.
5n + 10(n + 7) + 25(n + 3) = 705
5n + 10n + 70 + 25n + 75 = 705
40n + 145 = 705
40n = 560
n = 14
Katie has 14 nickels, 21 dimes, and 17 quarters.
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