Question

The container that holds the water for the football team isfull. After pouring out 5 gallons of w2gallonsХ5?

Answer 1

25 gallons

Step-by-step explanation:

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

The container starts half full, so it starts with (1/2)x gallons, then they pour out 5 gallons to let the container 3/10 full, so we need to subtract 5 gallons to get (3/10)x gallons. It means that we can write the following equation

`(1)/(2)x-5=(3)/(10)x`

Now, we can solve the expression for x, so

`\begin{gathered} (1)/(2)x-5+5=(3)/(10)x+5 \\ (1)/(2)x=(3)/(10)x+5 \\ (1)/(2)x-(3)/(10)x=(3)/(10)x+5-(3)/(10)x \\ (1)/(5)x=5 \\ 5\cdot(1)/(5)x=5\cdot5 \\ x=25 \end{gathered}`

Therefore, the container can hold 25 gallons.