Question

The container that holds the water for the football team is 1/6 full. After pouring in 7 gallons of water, it is 2/3 full. How many gallons can the container hold?

Answer 1

(2/3-1/6)w=7
(1/2)w=7
W=14
14 gallons is the answer

Answer 2

`14 gallons`

Explanation:

Let us suppose that container can hold
`x gallon` water

Initial quantity of water in container =
`(1)/(6) x`

Quantity added to the container =
`7 gallons`

Final quantity =
`(2)/(3) x`

∴
`(2)/(3) x - (1)/(6) x = 7\\((2)/(3) - (1)/(6))x = 7\\(1)/(2)x = 7\\x = 7*2\\x = 14`

Hence the container can hold
`14 gallons` of water