Question

50 points and I’ll mark you brainiest if correct.

Answer 1

Answer:

The container can hold 18 gallons

Step-by-step explanation:

Assume the container can hold x gallons

∵ The container is $\frac{2}{3}$  full with water

∵ It can hold x gallons

→ Multiply $\frac{2}{3}$ by x to find the number of gallons in the container

∴ The number of gallons in the container = $\frac{2}{3}$ x

∵ 4 gallons of water pouring out

∵ It is  $\frac{4}{9}$ full

→ Multiply $\frac{4}{9}$ by x to find the number of gallons left in it

∴ The number of gallons left in the container = $\frac{4}{9}$ x

→ The difference between the numbers of gallons is 4 gallons

∵  $\frac{2}{3}$ x - $\frac{4}{9}$ x = 4

→ Subtract the terms of the left side

∴ $\frac{2}{9}$ x = 4

→ Multiply both sides by 9

∴ 2x = 36

→ Divide both sides by 18

∴ x = 18

∵ x represents the full of the container

∴ The container can hold 18 gallons