Posted by **linda** on Monday, February 27, 2012 at 10:41am.

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?

- math -
**Steve**, Monday, February 27, 2012 at 1:57pm
she started with x

after store 1, she had x/2-6

after store 2, she had (x/2-6)* 2/3 - 6

after store 3, she had ((x/2-6)* 2/3 - 6)* 3/4 = 6

((x/3)-4-6)* 3/4 = 6

(x/3 - 10) = 8

x/3 - 10 = 8

x/3 = 18

x = 54

So, she started out with $54

At store 1, she spent 27+6 = 33, leaving $21

At store 2, she spent 7+6=13, leaving $8

At store 3 she spent 2, leaving $6

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