SOLUTION: There are two vats of orange juice. After 10% of the orange juice in the first vat was poured into the second vat, the first vat has 3 times as much orange juice in the second vat

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: There are two vats of orange juice. After 10% of the orange juice in the first vat was poured into the second vat, the first vat has 3 times as much orange juice in the second vat      Log On


   



Question 982871: There are two vats of orange juice. After 10% of the orange juice in the first vat was poured into the second vat, the first vat has 3 times as much orange juice in the second vat. By what percent did the amount of juice in the second vat increase when the juice from the first vat was poured into it? Explain your reasoning.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
They don't mention any units, so I can make
up a unit called U such that the 1st vat
contains +100+ U of OJ
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I pour +.1%2A100+=+10+ U into the 2nd vat
The 1st vat now has +100+-+10+=+90+ U
of OJ
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Let +x+ U = Amount of OJ now in 2nd vat
+90+=+3x+
+x+=+30+
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Before I added the +10+ U, the 2nd vat had
+30+-+10+=+20+ U of OJ
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The % increase in the 2nd vat was:
+%2810%2F20%29%2A100+=+50+%