SOLUTION: A vendor has six jugs of punch with capacities of 13, 15, 16, 21, 21, and 22 gallons. One jug, which he keeps for himself, is full of blue punch. The other five jugs are full of re

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Question 771318: A vendor has six jugs of punch with capacities of 13, 15, 16, 21, 21, and 22 gallons. One jug, which he keeps for himself, is full of blue punch. The other five jugs are full of red punch. Without opening any of the jugs, he sells 1/3 of the red punch to Randy and the remaining 2/3 of the red punch to Lisa. How many gallons of the blue punch did he keep for himself?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
If I add up the total gallons,
+13+%2B+15+%2B+16+%2B+21+%2B+21+%2B+22+=+108+
If I subtract away the +15+, I get
+108+-+15+=+93+
he gives +%281%2F3%29%2A93+=+31+ gallons to Randy
The remaining +%282%2F3%29%2A93+=+62+ gallons to Lisa
He keeps 15 gallons of blue punch
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I notice also that +108+-+21+=+87+ and
+%281%2F3%29%2A87+=+29+
+%282%2F3%29%2A87+=+58+
That means the blue punch could be in
one of the 21 gallon jugs.
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Could there be 2 answers?