SOLUTION: A container that holds water is 1/3 full after pouring in 9 gallons of water it is 5/6 full, how many gallons of water can the container hold?

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Question 1073836: A container that holds water is 1/3 full after pouring in 9 gallons of water it is 5/6 full, how many gallons of water can the container hold?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = number of gallons it can hold
Starts with +%281%2F3%29%2Ax+ gallons
+%281%2F3%29%2Ax+%2B+9+=+%285%2F6%29%2Ax+
Multiply both sides by +6+
+2x+%2B+54+=+5x+
+3x+=+54+
+x+=+18+
It can hold 18 gallons
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check:
+%281%2F3%29%2Ax+%2B+9+=+%285%2F6%29%2Ax+
+%281%2F3%29%2A18+%2B+9+=+%285%2F6%29%2A18+
+6+%2B+9+=+15+
+15+=+15+
OK