SOLUTION: The container that holds the water for the football team is 7/10 full. After pouring out 5 gallons of water, it is 1/2 full. How many gallons can the container hold?

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: The container that holds the water for the football team is 7/10 full. After pouring out 5 gallons of water, it is 1/2 full. How many gallons can the container hold?       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1196703: The container that holds the water for the football team is 7/10 full. After pouring out 5 gallons of water, it is 1/2 full. How many gallons can the container hold?
Found 3 solutions by greenestamps, ikleyn, math_tutor2020:
Answer by greenestamps(13209) About Me  (Show Source):
You can put this solution on YOUR website!


The difference between 7/10 full and 1/2 full is

7/10 - 1/2 = 7/10 - 5/10 = 2/10 = 1/5

So the 5 gallons that was poured out is 1/5 of the capacity of the container; that makes the capacity of the container 5*5 = 25 gallons.

ANSWER: 25 gallons

Answer by ikleyn(52887) About Me  (Show Source):
You can put this solution on YOUR website!
.

    %287%2F10%29x - 5 = %281%2F2%29x = %285%2F10%29x

    0.7x - 5 = 0.5x

    0.7x - 0.5x = 5

       0.2x     = 5

          x     = 5/0.2 = 25.


ANSWER.  The full capacity is 25 gallons.

Solved.

All formulas are SELF-EXPLANATORY.



Answer by math_tutor2020(3817) About Me  (Show Source):
You can put this solution on YOUR website!

The container is 7/10 full
Meaning we can represent this with 7 shaded slices out of 10 total


Take away 2 of those slices to get 5/10 full, aka 1/2 full.

Those 2 blue slices taken away represent 5 gallons poured out.
So each slice represents 5/2 = 2.5 gallons

10 total slices is 10*2.5 = 25 gallons which is the full capacity of the container.

Answer: 25 gallons