Question

The container that holds the water for the football team is 1/6
full. After pouring in 11 gallons of water, it is 2/3
full. How many gallons can the container hold?

Answer 1

Answer:

22 gallons

Step-by-step explanation:

First make the fractions match by finding a common denominator so they are easier to hand.  1/6 can be used as the common denominator so you'll have to convert 2/3.  Multiply the top and bottom by 2 and you'll have 4/6.

So now you know by adding 11 gallons, you ended up with a total of 4/6 of a full container.  If you subtract off what was in the tank originally ( 1/6 ), you'll know how much of the tank got filled with the 11 gallons.

4/6 - 1/6 = 3/6       3/6 is equal to 1/2

So now you know 11 gallons is equal to 1/2 of the container.

So the tank will hold twice as much as that or 22 gallons.