SOLUTION: San has only quarters and dimes in his pocket. He has a total if 12 coins, totaling $1.95. How many of each coin does Sam have? Write a system of equations for the total number of

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Question 858947: San has only quarters and dimes in his pocket. He has a total if 12 coins, totaling $1.95. How many of each coin does Sam have? Write a system of equations for the total number of coins & total value of money.
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
q for quarters and d for dimes.

q%2Bd=12 and 0.25q%2B0.1d=1.95; and this second equation could use some simplifying.

25q%2B10d=195
5q%2B2d=39


Work with the system as:
---------------
q+d=12
---------------
5q+2d=39
---------------

Without giving explanation:
5q%2B2d-%282q%2B2d%29=39-24%7D%7D%0D%0A%7B%7B%7B3q=15
highlight%28q=5%29, and you find d.