SOLUTION: Laura spent 1/3 of her money, then she spent 1/3 of the remainder. Altogether she spent $120. How much did she have to start with?

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Question 284271: Laura spent 1/3 of her money, then she spent 1/3 of the remainder. Altogether she spent
$120.
How much did she have to start with?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Laura spent 1/3 of her money, then she spent 1/3 of the remainder. Altogether she spent
$120.
How much did she have to start with?
let her have $x
she spent 1/3 *x
She had balance of x-1/3*x
She again spent 1/3 * (x-1/3*x)
1/3*x + 1/3 * (x-x/3)
x/3 +1/3 * (3x-x/3)
x/3 + 1/9 *2x
3x+2x/9 = 120
5x/9=120
5x=1080
x= 216
She had $216