Olivia bought some school supplies. In the first store she spent half the money she had plus $6. In the second store she spent one third of what was left plus $6.In the last store she spent ¼ of what was left and came home with $6.How much did she start out with?

Answer 1

$X Initially.
1. X - (x/2+6) = x/2 - 6.

2. (x/2-6)-1/3(x/2-6)-6 = 2/3(x/2-6)-6 =2x/6-4-6 = x/3-10.

3. (x/3-10) - 1/4(x/3-10) = 3/4(x/3-10)= x/4-30/4 = (x-30)/4 = Bal. = $6.

(x-30)/4 = 6.
x-30 = 24.
X = 24 + 30 = $54. = The amt. she started out with.