SOLUTION: Otis Taylor has a box of coins that he uses when he plays poker with his friends. The box currently contains 44 coins, consisting of pennies, dimes, and quarters. The number of pen

Question 320122: Otis Taylor has a box of coins that he uses when he plays poker with his friends. The box currently contains 44 coins, consisting of pennies, dimes, and quarters. The number of pennies is equal to the number of dimes, and the total value is $4.37. How many of each denomination of coin does he have in the box?
Can you help me with this problem? Thank You.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
The box currently contains 44 coins, consisting of pennies, dimes, and quarters.
The number of pennies is equal to the number of dimes, and the total value is $4.37.
How many of each denomination of coin does he have in the box?
:
Write an equation for each statement:
:
"box currently contains 44 coins,"
p + d + q = 44
:
"The number of pennies is equal to the number of dimes,"
p = d
:
"the total value is $4.37."
.01p + .10d + .25q = 4.37
:
Substitute d for p in the total coin equation
d + d + q = 44
2d + q = 44
:
Substitute d for p in the total value equation
.01d + .10d + .25q = 4.37
.11d + .25q = 4.37
:
Now we have two equation for two unknowns
:
Multiply the above equation by 4, subtract from the two unknown coin equation
2.0d + 1q = 44
.44d + 1q = 17.48
------------------subtraction eliminates q, find d
1.56d = 26.52
d =
d = 17 dimes
we know p = d, therefore:
17 pennies
:
:
I'll let you find the number of quarters

How many of each denomination of coin does he have in the box?
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