Question

A container holds 8$\frac{1}{2}$ L of grape juice that is to be filled into bottles. If a bottle can hold 4$\frac{1}{4}$ L of juice, how many bottles are needed?

• A. 2
• B. 3
• C. 4
• D. 5

Answer 1

The correct option is A 2

Capacity of the container is $8\frac{1}{2}$ L.

Capacity of 1 bottle = $4\frac{1}{4}$ L

To find the number of bottles needed, we have to divice the total amount of grape juice by the capacity of 1 bottle.

$8\frac{1}{2}$ $÷$ $4\frac{1}{4}$

Convert the mixed numbers to improper fractions.

$8\frac{1}{2}$ = $\frac{17}{2}$

$4\frac{1}{4}$ = $\frac{17}{4}$

Number of bottles needed = $\frac{17}{2}$ $÷$ $\frac{17}{4}$

= $\frac{17}{2}$ $\times$ $\frac{4}{17}$

= 2

Hene, 2 bottles are needed.