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The container that holds the water for the football team is 1/2 full. After pouring out 2 gallons of water, it is 1/3 full. How many gallons can the container hold?

User Natanael
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2 Answers

3 votes
The container can hold 12 gallons.

Let's say the container can hold x gallons of water.

Initially, the container was 1/2 full, so it contained (1/2)x gallons of water. After pouring out 2 gallons of water, the container was 1/3 full, so it contained (1/3)x gallons of water.

We can set up an equation to solve for x:

(1/2)x - 2 = (1/3)x

Multiplying both sides by 6 (the least common multiple of 2 and 3) gives:

3x - 12 = 2x

Simplifying this equation gives:

x = 12

Therefore, the container can hold 12 gallons of water.
User German
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9.0k points
4 votes
5 gallons of water that the container can hold
User Yokota
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8.3k points