<PRE><B>Question 67007</B>
You have 15 coins in your pocket that are either quarters or nickels. They total $2.75. How many of each coin do you have?  Write and solve a system of equation to model the situation. I so far have have 0.25q+ 0.05=2.75

Let q=number of quarters
Then n=number of nickels

LETS DEAL IN PENNIES TO KEEP CONFUSION DOWN.

Now we are told that q+n=15----------our first equation

We are also told that:

25q+5n=275  (all cents)----------------our second equation

Multiply first equation by 5:

5q+5n=75  subtract this equation from our second equation:

20q=200
q=10--------------------number of quarters

substitute q=10 in our first equation:

10+n=15 subtract 10 from both sides
n=15-10=5 ----------------------------number of nickels

CK

10 quarters plus 5 nickels equals 15 coins

10 quarters=$2.50
5 nickels=.25

Total = $2.75

Hope this helps----ptaylor

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