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

Answer:

The container can hold 22 gallons of water.

Step-by-step 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

$\frac{2}{3}g-\frac{1}{6}g=11$

Multiply by LCM 6

$\frac{2}{3}g\cdot \:6-\frac{1}{6}g\cdot \:6=11\cdot \:6$

$4g-g=66$

$3g=66$

Divide both sides by 3

$\frac{3g}{3}=\frac{66}{3}$

$g=22$

Therefore, the container can hold 22 gallons of water.