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The container that holds the water for the football team is 4/9 full. After pouring in 4
gallons of water, it is 2/3 full. How many gallons can the container hold?

Respuesta :

carlosego

Answer: 18 gallons.

Step-by-step explanation:

Let's call the total gallons that the container can hold x.

Then, based on the information given in the problem, you can write the following expression:

[tex]\frac{4}{9}x+4=\frac{2}{3}x[/tex]

Now, you must solve for x, as you can see below. Therefore, you obtain the following result:

[tex]\frac{4}{9}x+4=\frac{2}{3}x\\\\4=\frac{2}{3}x-\frac{4}{9}x\\\\4=\frac{2}{9}x\\\\4*9=2x\\\\36=2x\\\\x=18\ gallons[/tex]

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