Question

The container that holds the water for the football team is 1/6 full. After pouring in 11 gallons of water, it is 2/3 full. How many gallons can the container hold?

Answer 1

The container can hold 22 gallons of water.

Explanation:

Let 'g' be the number of gallons a container can hold

• Given the initial amount of water = 1/6 g

Given that 11 gallons of water have been added to the container.

• so the final quantity will become = 2/3 g

Thus, the equation becomes

`(2)/(3)g-(1)/(6)g=11`

Multiply by LCM 6

`(2)/(3)g\cdot \:6-(1)/(6)g\cdot \:6=11\cdot \:6`

`4g-g=66`

`3g=66`

Divide both sides by 3

`(3g)/(3)=(66)/(3)`

`g=22`

Therefore, the container can hold 22 gallons of water.