SOLUTION: Please Help Me. I tried every solution possible. Otis Taylor has a box of coins that he uses when playing poker with his friends. The box currently contains 44 coins, consis

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Question 168643This question is from textbook Intermediate Algebra
: Please Help Me. I tried every solution possible.
Otis Taylor has a box of coins that he uses when playing 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?
This question is from textbook Intermediate Algebra

Answer by stanbon(57984) About Me  (Show Source):
You can put this solution on YOUR website!
The box currently contains 44 coins, consisting of pennies, dimes, and quarters.
Quantity equation: p + d + q = 44
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The number of pennies is equal to the number of dimes,
Quantity equation: p - d = 0
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the total value is $4.37.
Value equation: p + 10d + 25q = 437 cents
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How many of each denomination of coin does he have in the box?
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You have three equation with three variables:
p + d + q = 44
p - d + 0 = 0
p + 10d + 25q = 437
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Use any method you know to solve this system to get:
p = 17
d = 17
q = 10
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Cheers,
Stan H.