SOLUTION: Katie has a collection of nickels, dimes and quarters with a total value of $4.30. There are 4 more dimes than nickels and 6 more quarters than nickels, how many of each coin does

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Question 760009: Katie has a collection of nickels, dimes and quarters with a total value of $4.30. There are 4 more dimes than nickels and 6 more quarters than nickels, how many of each coin does she have?
Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
let x be the number of nickels, then
.05x +.10(x+4) +.25(x+6) = 4.30
.05x +.10x+.4 +.25x+1.5 = 4.30
.4x +1.9 = 4.30
.4x = 2.4
x = 6
so we have 6 nickels, 10 dimes and 12 quarters