Question

carlos has a tub that can hold 2 1/4 L, which is a third of what Corey's container can hold. Corey's container is half full of water. How much water does he have?

Answer 1

`3(3)/(8)` liters

Explanation:

We have been given that Carlos has a tub that can hold 2 1/4 L, which is a third of what Corey's container can hold.

This means that Corey's container will have 3 times the water that Carlos's tub can hold.

Let us convert 2 1/4 into mixed fraction.

`2(1)/(4)=(9)/(4)`

Now we need to find 3 times of
`(9)/(4)` liters as:

`(9)/(4)* 3=(9* 3)/(4) = (27)/(4)`

So Corey's container can hold
`(27)/(4)` liters of water.

We are also told that Corey's container is half full of water. So to find amount of water, we will divide total amount of water by 2 as:

`(27)/(4)/ 2`

`(27)/(4)/ (2)/(1)`

Convert division problem into multiplication problem by flipping the 2nd fraction.

`(27)/(4)* (1)/(2)`

`(27)/(4* 2)=(27)/(8)`

`(27)/(8)=3(3)/(8)`

Therefore, Corey's container has
`3(3)/(8)` liters of water.