Question

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

Answer 1

Answer:

(a). $\frac{1}{12}$

(b). 2 liters juice.

Step-by-step 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:

$\text{Amount of juice that each student will get}=\frac{\frac{1}{2}}{6}$

Using property $\frac{\frac{a}{b}}{c}=\frac{a}{b\cdot c}$, we will get:

$\text{Amount of juice that each student will get}=\frac{1}{2\cdot6}$

$\text{Amount of juice that each student will get}=\frac{1}{12}$

Therefore, each student will get $\frac{1}{12}$ liter of juice.

(b). To find the amount needed for 24 students each having $\frac{1}{12}$ liter of juice, we will multiply 24 by $\frac{1}{12}$.

$\text{Amount of juice needed for 24 students}=24\times \frac{1}{12}$

$\text{Amount of juice needed for 24 students}=2\times 1$

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

Therefore, Ms. Hayes needs 2 liters of juice.