SOLUTION: Jasmine earned $4,000 from her business. She gave 1/5 of it to her daughter and son-in-law as a gift. She invested 1/2 of the remaining amount. How much did she have left?

Algebra ->  Human-and-algebraic-language -> SOLUTION: Jasmine earned $4,000 from her business. She gave 1/5 of it to her daughter and son-in-law as a gift. She invested 1/2 of the remaining amount. How much did she have left?       Log On


   

Question 771812: Jasmine earned $4,000 from her business. She gave 1/5 of it to her daughter and son-in-law as a gift. She invested 1/2 of the remaining amount. How much did she have left?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
After she gave away +1%2F5+, she had
+4%2F5+ left
She invested half of the +4%2F5+, or
+%281%2F2%29%2A%284%2F5%29+=+2%2F5+
That leaves the other half of the +4%2F5+
remaining, also +2%2F5+
So she had +%28+2%2F5%29%2A4000+=+1600+
$1,600 left
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check answer:
+%281%2F5%29%2A4000+=+800+
Then she had +4%2F5+ left:
+4000+-+800+=+3200+
She invested +1600+ and
had +1600+ left
OK