SOLUTION: after spending 3/5 of his money,Larry received a cash gift of $250 from his Uncle. At this time, the amount of money which he had was 1/2 of the amount which he had at first. How m

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: after spending 3/5 of his money,Larry received a cash gift of $250 from his Uncle. At this time, the amount of money which he had was 1/2 of the amount which he had at first. How m      Log On

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Question 1097715: after spending 3/5 of his money,Larry received a cash gift of $250 from his Uncle. At this time, the amount of money which he had was 1/2 of the amount which he had at first. 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 +x+ = the amount he had at first
He spent +%283%2F5%29%2Ax+ , so he had +%282%2F5%29%2Ax+
left.
+%282%2F5%29%2Ax+%2B+250+=+%281%2F2%29%2Ax+
Multiply both sides by +10+
+4x+%2B+2500+=+5x+
+x+=+2500+
He had $2500 at first
---------------------------
check:
He spent +%283%2F5%29%2A2500+. so he had
+%282%2F5%29%2A2500+=+1000+ left
He gets +250+
+1000+%2B+250+=+1250+
and
+1250+=+%281%2F2%29%2A2500+
+1250+=+1250+
OK