The container that holds the water for the football team is
23
full. After pouring out
4
gallons of water, it is
49
full. How many gallons can the container hold?

Question

The container that holds the water for the football team is 
23
 full. After pouring out 
4
 gallons of water, it is 
49
 full. How many gallons can the container hold?

prince1342 · Answer

attachment

amorfide · Answer

we know there is an amount of water in the contianer, we will call this y
we know that the current amount is 2/3 of the maximum amount, which we will call x.
next we take away 4, 


so

$$y=\frac{ 2 }{ 3 }x -4$$

we know that after letting out 4 we have the container 4/9 full
which is 4/9x

so let $$y=\frac{ 4 }{ 9 }x$$

sub it in to get

|dw:1480546456096:dw|

solve for x