SOLUTION: A childs 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 209071: A childs 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 ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! A childs 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?
:
Let p = no. pennies
let n = no. of nickels
:
Write an equation for each statement:
:
"coin bank contains 2.58 in pennies and nickels."
.01p + .05n = 2.58
Multiply equation by 100 to get rid of the decimals, use cents
1p + 5n = 258
:
"the number of pennies is 36 less than 2 times the number of nickels,"
p = 2n - 36
:
Substitute (2n-36) for p in the cents amt equation
(2n-36) + 5n = 258
2n + 5n = 258 + 36
7n = 294
n =
n = 42 nickels
then
p = 2(42) - 36
p = 84 - 36
p = 48 pennies
:
:
Check solution in original $amt equation
.01(48) + .05(42) =
.48 + 2.10 = 2.58
