SOLUTION: Two bags had 50kg each. After taking out 3 times as much sugar from bag A as bag B, bag A had half as much sugar left as bag B. How much sugar is left in each bag?

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: Two bags had 50kg each. After taking out 3 times as much sugar from bag A as bag B, bag A had half as much sugar left as bag B. How much sugar is left in each bag?      Log On

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Question 978188: Two bags had 50kg each. After taking out 3 times as much sugar from bag A as bag B, bag A had half as much sugar left as bag B. How much sugar is left in each bag?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
At the start:
+A+=+50+
+B+=+50+
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Let +x+ = the amount in kg removed from bag B
+3x+ is the amount rmoved from A
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+A+-+3x+=+%281%2F2%29%2A%28+B+-+x+%29+
+50+-+3x+=+%281%2F2%29%2A%28+50+-+x+%29+
+2%2A%28+50+-+3x+%29+=+50+-+x+
+100+-+6x+=+50+-+x+
+5x+=+50+
+x+=+10+
and
+3x+=+30+
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+A+-+3x+=+50+-+30+
+50+-+30+=+20+ kg left in bag A
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+B+-+x+=+50+-+10+
+50+-+10+=+40+ kg left in bag B
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check answers:
+50+-+3x+=+%281%2F2%29%2A%28+50+-+x+%29+
+50+-+30+=+%281%2F2%29%2A%28+50+-+10+%29+
+20+=+%281%2F2%29%2A40+
+20+=+20+
OK