Question

The container that holds the water for the football team is 2/9 full. After pouring in 12 gallons of water, it is 2/3 full. How many gallons can the container hold?

Answer 1

Answer:

27 gallons

Step-by-step explanation:

Our equation is: $\frac{2x}{9} +12 = \frac{2x}{3}$

What do we need to find: x

We need to first find x, so lets find x first.

$12 = \frac{2x}{3} - \frac{2x}{9}$

=> $12 = \frac{6x}{9} - \frac{2x}{9}$

=> $12 = \frac{4x}{9}$

=> x = 27

Lets go back to our equation.

$\frac{2(27)}{9} +12 = \frac{2(27)}{3}$

We are going to simplify this before solving this. We are going to get:$\frac{54}{9} +12 = \frac{54}{3}$

=> 18 = 18

Therefore, we found x and we checked that our x value is correct. Now, we need to find how many gallons can the container can hold.

$\frac{3x}{3} = a$                                                           [a = gallons can the container hold]

=> x = a

Basically that means the container can hold 27 gallons of water.

Please give me brainliest if this is helpful ;D

Answer 2

Answer:

27 Gallons

Explanation:

2/9 of the container is already full, 12 gallons are added. After the 12 gallons are added, 6/9 is full.
12g (gallons) = 4/9 so,
12g + 12g = 24g or 8/9
1/9 = 3g
12g + 12g + 3g = 27 Gallons!!