SOLUTION: A child's coin bank contains $2.58 in pennies and nickels. If the number of pennies is 36 less than 2 times the number of nickels, how many pennies are in the bank?

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Question 179953: A child's coin bank contains $2.58 in pennies and nickels. If the number of pennies is 36 less than 2 times the number of nickels, how many pennies are in the bank?
Answer by Mathtut(3670) About Me  (Show Source):
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A child's coin bank contains $2.58 in pennies and nickels. If the number of pennies is 36 less than 2 times the number of nickels, how many pennies are in the bank?
:lets call the number of pennies and nickels ,p and n respectively
:
.01p+.05n=2.58.........eq 1
p=2n-36................eq 2
:
take p's value of 2n-36 in eq 2 and plug it into eq 1
:
.01(2n-36)+.05n=2.58
:
.02n-.36+.05n=2.58
:
.07n=2.94
:
highlight%28n=42%29number of nickels
:
highlight%28p=2%2842%29-36=48%29number of pennies