SOLUTION: A jar contains 40 Coins consisting of dimes and quarters and having a total value of $4.90. How many of each coin are there?

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Question 153438: A jar contains 40 Coins consisting of dimes and quarters and having a total value of $4.90. How many of each coin are there?
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!
Remember:
Number of dimes = x
Number of quarters = y
So, x%2By=40coins ----------------------------------------> eqn 1
Also,
0.10x%2B0.25y=4.90 ---------------------------------------> eqn 2
In eqn 1 we get, y=40-x, substitute this in eqn 2:
0.10x%2B0.25%2840-x%29=4.90
0.10x%2B10-0.25x=4.90
10-4.90=0.25x-0.10x
5.10=0.15x --------> cross%285.10%2934%2Fcross%280.15%29=cross%280.15%29%2Ax%2Fcross%280.15%29
x=34 --------------------------------------> no. of dimes
In eqn 1:
34%2By=40 --> y=40-34=6 ----------------> no. quarters
In doubt? Go back eqn 2:
0.10%2834%29%2B0.25%286%29=4.90
3.40%2B1.50=4.90
4.90=4.90
Thank you,
Jojo