SOLUTION: You have a jar of pennies and dimes. You want to choose exactly 52 coins that are worth exactly $3.40 How many of each coin do you need?

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Question 835431: You have a jar of pennies and dimes. You want to choose exactly 52 coins that are worth exactly $3.40 How many of each coin do you need?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let P be the number of pennies and D be the number of dimes.
1.P%2BD=52
Also,
0.01P%2B0.10D=3.40
2.P%2B10D=340
Subtract eq.1 from eq. 2,
P%2B10D-P-D=340-52
9D=288
D=32
Then use either equation to solve for P.
P%2B32=52
P=20
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20 pennies and 32 dimes.