SOLUTION: Two bags had 50 kilograms of sugar each. After taking out 3 times as much sugar from bag one than bag two, bag one had half as much sugar left as bag two. How much sugar is left in

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Question 1054871: Two bags had 50 kilograms of sugar each. After taking out 3 times as much sugar from bag one than bag two, bag one had half as much sugar left as bag two. How much sugar is left in each bag?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = kg of sugar removed from bag 2
+3x+ kg of sugar is removed from bag 1
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given:
+50+-+3x+=+%281%2F2%29%2A%28+50+-+x+%29+
+100-+6x+=+50+-+x+
+5x+=+50+
+x+=+10+
and
+50+-+x+=+50+-+10+
+50+-+x+=+40+
and
+50+-+3x+=+50+-+3%2A10+
+50+-+3x+=+20+
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20 kg is left in bag 1
40 kg is left in bag 2
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Check:
The total kg of sugar is +20+%2B+40+=+60+
If I add back in the kg that were removed,
I should get +50+%2B+50+=+100+
+60+%2B+x+%2B+3x+=+100+
+60+%2B+10+%2B+30+=+100+
+100+=+100+
OK