money
posted by linda on .
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 ΒΌ of what was left and came home with $6.How much did she start out with?

$X Initially.
1. X  (x/2+6) = x/2  6.
2. (x/26)1/3(x/26)6 = 2/3(x/26)6 =2x/646 = x/310.
3. (x/310)  1/4(x/310) = 3/4(x/310)= x/430/4 = (x30)/4 = Bal. = $6.
(x30)/4 = 6.
x30 = 24.
X = 24 + 30 = $54. = The amt. she started out with.