SOLUTION: Hi henry spent 550 dollars on food and clothes and gave 40% of the remainder to janet. Then he saved the rest of his money. If he saved 30% of his original sum, how much did he gi

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Question 1107350: Hi
henry spent 550 dollars on food and clothes and gave 40% of the remainder to janet. Then he saved the rest of his money. If he saved 30% of his original sum, how much did he give janet.
thanks
Found 2 solutions by josmiceli, TeachMath:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = the amount that he
started with
After spending $550 on food & clothes,
he has +x-550+ left
Then he gave +.4%2A%28+x+-+550+%29+ to Janet
That means he has +.6%2A%28+x+-+550+%29+ left for himself
---------------------
Then you are told that:
+.6%2A%28+x+-+550+%29+=+.3x+
+.6x+-+363+=+.3x+
+.3x+=+363+
+x+=+1210+
-------------------
He gave Janet +.4%2A%28+x+-+550+%29+=+.4%2A%28+1210+-+550+%29+
+.4%2A%28+x+-+550+%29+=+.4%2A660+
+.4%2A660+=+264+
He gave $264 to Janet
---------------------------
check answer:
He started with $1210
He had +1210+-+550+=+660+ after food & clothes
+550+-+264+=+286+
He had $286 left after giving $264 to Janet
and +.3%2A1210+=+286+
OK

Answer by TeachMath(96) About Me  (Show Source):
You can put this solution on YOUR website!

He gave Janet $220