Question

Kim made 1 1/4 quarts of a fruit smoothie. She drank 1/5 of her smoothie. Her brothers drank the rest. They each had 1/3 quart. How many brothers does Kim have?

Answer 1

6/3 Quart It is a multi step problem

Answer 2

3 brothers.

Explanation:

You know that Kim made
`1(1)/(4)` quarts of a fruit smoothie.

Observation:
`1(1)/(4)` is the same as saying
`(5)/(4)` because,
`1(1)/(4) =1+(1)/(4) =(4.1+1)/(4) =(5)/(4)`, then Kim made
`(5)/(4)` of a fruit smoothie.

Now, the problem says that Kim drank
`(1)/(5)` of her smoothie, this means:

`(5)/(4) .(1)/(5)=(1)/(4)`

Kim drank
`(1)/(4)` quart of the smoothie, the rest of the smoothie is:

`(5)/(4)- (1)/(4)=(4)/(4)`

Now to know how many brothers Kim has we have to divide the rest of the smoothie (
`(4)/(4)`) in
`(1)/(3)`, this is:

`(4)/(4) :(1)/(3) =(12)/(4) =3`

Then Kim has 3 brothers.