SOLUTION: ----------- ----------- ----------- ----------- ----------- ----------- -------- A collection of 5 cents and 25 cents total $2.25. The total no. of coins is 25. How many of eac

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Question 11032: --------------------------------------------------------------------------------

A collection of 5 cents and 25 cents total $2.25. The total no. of coins is 25. How many of each kind are there?

Can anybody help to solve this problem. Thanks.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Let the number of nickels be f
Let the number of quarters be q
Equation:
f + q = 25
The value of the nickels is 5f cents
The value of the quarters is 25q
Equation:
5f + 25q = 225cents
Solve this system of equations by substitution:
f = 25-q
5(25-q) + 25q = 225
125 - 5q +25q = 225
20q = 100
q = 5 (number of quarters)
f = 25-q = 20 (number of nickels)
Cheers,
Stan H.