SOLUTION: 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 situat

Question 67007: 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
Answer by ptaylor(2198) (Show Source): You can put this solution on YOUR website!
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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