Dividing fractions

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

Let the capacity of the container be x.

Given :

1/6 of the container is full.

adding 11 gallons make 2/3 full

That is, 1/6 of x + 11 = 2/3 of x

Solve for x.

11 = 2x/3 - x/6

11 = (4x - x)/6

66 = 3x

x =22

Therefore, the container can hold 22 gallons.