SOLUTION: david spent 25% of his money in one shop and then spent one third of the remainder in another shop. If he had $5.50 left, how much had he at first?

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Question 1148018: david spent 25% of his money in one shop and then spent one third of the remainder in another shop. If he had $5.50 left, how much had he at first?

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
let a = His original amt
David spent 25% of his money in one shop
Now he has .75a remaining
He now has and then spent one third of the remainder in another shop.
Now he has 2%2F3(.75a)
If he had $5.50 left, how much had he at first?
2%2F3(.75a) = 5.50
2(.25a) = 5.50
.5a = 5.50
a = 5.50/.5
a = $11.00 at first
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