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?
: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(n=42)}}}number of nickels
:
{{{highlight(p=2(42)-36=48)}}}number of pennies