SOLUTION: Ellen spent 20% of her money on a dress.she spent 2/5 of the remainder on a pair of shoes.she had $72 left.how much money did Ellen have at first?

Algebra ->  Finance -> SOLUTION: Ellen spent 20% of her money on a dress.she spent 2/5 of the remainder on a pair of shoes.she had $72 left.how much money did Ellen have at first?      Log On


   



Question 1157503: Ellen spent 20% of her money on a dress.she spent 2/5 of the remainder on a pair of shoes.she had $72 left.how much money did Ellen have at first?
Answer by mathslover(157) About Me  (Show Source):
You can put this solution on YOUR website!
Let Ellen have $x at first.
Amount she spent on dress = 20%2F100+%2Ax
=x%2F5
Amount remaining = %28x+-+x%2F5%29
=4x%2F5
She spent 2/5 of the remainder on shoes. This mean she is left with 3/5 of the remainder after buying the shoes
Amount left = +%283%2F5%29+%2A+%284x%2F5%29
=12x%2F25
Amount left is given as $72
=> 12x%2F25+=72
Therefore, x = +%2872+%2A25%29%2F12
x= 150
She had $150 in the beginning