SOLUTION: Tank a contains 23 liters of water and tank b contains 1 liter of water. how many liters of water must be poured from tank a to tank b so that tank b will contain exactly one third

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Question 573710: Tank a contains 23 liters of water and tank b contains 1 liter of water. how many liters of water must be poured from tank a to tank b so that tank b will contain exactly one third of the amount of water remaing in tank a
Found 2 solutions by Alan3354, josmiceli:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Tank a contains 23 liters of water and tank b contains 1 liter of water. how many liters of water must be poured from tank a to tank b so that tank b will contain exactly one third of the amount of water remaing in tank a
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Vol + Vol/3 = 24
Vol = 18 liters in tank a
--> 6 liters in tank b
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Move 5 liters from a to b

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = liters removed from tank a
and added to tank b
given:
+%281%2F3%29%2A%28+23+-+a+%29+=+1+%2B+a+
+23+-+a+=+3%2A%28+1+%2B+a+%29+
+23+-+a+=+3+%2B+3a+
+4a+=+20+
+a+=+5+
5 liters must be removed from tank a and poured into tank b
check:
+23+-+5+=+18+ ( left in a )
+1+%2B+5+=+6+ ( put in b )
Tank b now has 1/3 the water in tank a