SOLUTION: Encik gave 2/5 of his money to his wife and spent 1/2 of the reminder. If he had $300 left, how much money did he have at first?

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Encik gave 2/5 of his money to his wife and spent 1/2 of the reminder. If he had $300 left, how much money did he have at first?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 833422: Encik gave 2/5 of his money to his wife and spent 1/2 of the reminder. If he had $300 left, how much money did he have at first?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = the amount he started with
He gave +%282%2F5%29%2Aa+ to his wife, so he had
+%283%2F5%29%2Aa+ left
He spent 1/2 so he had +%281%2F2%29%2A%283%2F5%29%2Aa+ left
+%283%2F10%29%2Aa+=+300+
+3a+=+3000+
+a+=+1000+
He had $1,000 at first
check:
He gave 2/5 to his wife, so he had
$600 left
He spent $300, so he had $300 left
OK