SOLUTION: Carlos has a box of coins that he uses when playing poker with friends. The box currently contains 51 ​coins, consisting of​ pennies, dimes, and quarters. The number of

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Question 1088226: Carlos has a box of coins that he uses when playing poker with friends. The box currently contains 51 ​coins, consisting of​ pennies, dimes, and quarters. The number of pennies is equal to the number of​ dimes, and the total value is ​$5.34. How many of each denomination of coin does he​ have?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
P%2BD%2BQ=51
P=D
0.01P%2B0.10D%2B0.25Q=5.34
Substituting,
P%2BP%2BQ=51
1.2P%2BQ=51
and
P%2B10P%2B25Q=534
2.11P%2B25Q=534
Multiply eq. 1 by 25 and subtract from eq. 2,
11P%2B25Q-50P-25Q=534-1275
-39P=-741
Solve for P then use either equation to solve for Q.