Question

you have a Jar full of nickels and dimes there are a total of 117 coins the value of the coins is $8.55 how many of each do you have​?

Answer 1

n= each nickle = 0.05 dollars

d= each dime = 0.1 dollars

so

`0.05n + 0.1d = 8.55`

and

`n + d = 117`

`d = 117 - n`

solving the 2 equations for the 2 variables:

`0.05n + 0.1(117 - n) = 8.55`

`- 0.05n = 8.55 - 11.7 = - 3.15`

`n = ( - 3.15)/( - 0.05) = 63 \: nickles`

`n + d = 117`

`d = 117 - 63 = 54 \: dimes`