SOLUTION: Agirl has a collection of dimes and nickles worth four dollars. If she has 60 coins,how many of each kind are there? I don't know how to set up an algebraic equation! please show

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Question 17294: Agirl has a collection of dimes and nickles worth four dollars. If she has 60 coins,how many of each kind are there? I don't know how to set up an algebraic equation! please show me the equation.
Answer by LilSkittleMd(119) About Me  (Show Source):
You can put this solution on YOUR website!
There are 2 equations in this problem.
Let d= dimes
Let n= nickels
d+n=60
0.1d+0.05n=4
Use substitution to solve
n=60-d
0.1d+0.05(60-d)=4
0.1d+3-0.05d=4
0.05d=1
d=20
Now substitute d into one of the original equations
20+n=60
n=40
The girl has 20 dimes and 40 nickels