SOLUTION: I have $4.30 in nickles, dimes and quarters. I have 2 more nickles than dimes and 2 less nickles than quarters. How many nickles, dimes and quarters in total?

Question 514773: I have $4.30 in nickles, dimes and quarters. I have 2 more nickles than dimes and 2 less nickles than quarters. How many nickles, dimes and quarters in total?
Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
n = number of nickels
5n = value in cents
d = number of dimes
10d = value in cents
q = number of quarters
25q = value in cents
.
5n + 10d + 25q = 430 cents
.
d = n-2
q = n+2
.
substitute
.
5n + 10(n-2) + 25(n+2) = 430
5n + 10n -20 +25n + 50 = 430
40n +30 = 430
40n = 400
n = 10
.
d = 10-2 =8
q = 10+2 = 12
.
Check to see if the value is right.
5(10) = 50
10(8) = 80
25(12) = 300
50 +80 + 300 = 430
Correct.
.
Answer: 10 nickels, 8 dimes, and 12 quarters.
.
Done.
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