Question

Ms. Hayes has 1/2 liter of juice. She distributes it equally to 6 students in her tutoring group.

a. How many liters of juice does each student get?
b. How many more liters of juice will Ms. Hayes need if she wants to give each of the 24 students in her class the same amount of juice found in Part (a)?

Answer 1

(a).
`(1)/(12)`

(b). 2 liters juice.

Explanation:

We have been given that Ms. Hayes has 1/2 liter of juice. She distributes it equally to 6 students in her tutoring group.

(a). To amount the amount of juice needed for each student, we will divide 1/2 liter by 6 as:

`\text{Amount of juice that each student will get}=((1)/(2))/(6)`

Using property
`((a)/(b))/(c)=(a)/(b\cdot c)`, we will get:

`\text{Amount of juice that each student will get}=(1)/(2\cdot6)`

`\text{Amount of juice that each student will get}=(1)/(12)`

Therefore, each student will get
`(1)/(12)` liter of juice.

(b). To find the amount needed for 24 students each having
`(1)/(12)` liter of juice, we will multiply 24 by
`(1)/(12)`.

`\text{Amount of juice needed for 24 students}=24* (1)/(12)`

`\text{Amount of juice needed for 24 students}=2* 1`

`\text{Amount of juice needed for 24 students}=2`

Therefore, Ms. Hayes needs 2 liters of juice.