SOLUTION: Ahmad and Luke had $400 altogether at first. Then, Ahmad spent 3/5 of his money and Luke spent all his money. They spent $280 in all. How much money did Ahmad spend?

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Ahmad and Luke had $400 altogether at first. Then, Ahmad spent 3/5 of his money and Luke spent all his money. They spent $280 in all. How much money did Ahmad spend?      Log On


   

Question 1205992: Ahmad and Luke had $400 altogether at first. Then, Ahmad spent 3/5 of his money and Luke spent all his money. They spent $280 in all. How much money did Ahmad spend?
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
They have at first A and 400-A.

Spent some money:
3A%2F5%2B%28400-A%29=280, what was spent
.
.

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


They started with $400 between them and spent $280, finishing with $120.

Luke spent all his money and Ahmad spent 3/5 of his, so the $120 that remained was 2/5 of what Ahmad started with.

120+=+%282%2F5%29A
A=120%285%2F2%29=300

Ahmad started with $300; he spent 3/5 of it.

ANSWER: 3/5 of $300, which is $180