SOLUTION: what is the formula to calculate 52 dimes and nickels to equate $4.50?

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Question 16091: what is the formula to calculate 52 dimes and nickels to equate $4.50?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Let number of nickels be "n"
Let number of dimes be "d"
QUANTITY EQUATION:
n + d = 52
Value of nickels = 5n cents
Value of dimes = 10q cents
VALUE EQUATION:
5n + 10d = 450 cents
Solve by substitution as follows:
n = 52-d
5(52-d)+ 10d = 450
260 - 5d +10d = 450
5d = 190
d = 38 (number of dimes)
n = 14 (number of nickels)
Cheers,
Stan H.