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?
Algebra.Com
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
RELATED QUESTIONS
A child's coin bank contains $2.58 in pennies and nickels. If the number of pennies is 36 (answered by Mathtut)
A child's coin bank contains $2.58 in pennies and nickels. If the number of pennies is 36 (answered by scott8148)
A child's coin bank contains $1.52 in pennies and nickels. If the number of pennies is 32 (answered by richwmiller)
A child's coin bank contains $1.52 in pennies and nickels. If the number of pennies is 32 (answered by stanbon)
A child's bank contains $2.24 in pennies and nickels. If the number of pennies is 40 less (answered by stanbon)
Translate the problem into a pair of linear equations in two variables. Solve the... (answered by dabanfield)
a coin bank contains pennies, nickels and quarters. there are seven times as many nicked... (answered by CubeyThePenguin)
a coin bank contains pennies,nickels, and dimes. there are six times as many nickels as... (answered by Fombitz)
A coin bank contains pennies, nickels, and quarters. There are seven times as many... (answered by jorel1380)