College

Maggi buys [tex]\frac{3}{4}[/tex] pound of blueberries and uses [tex]\frac{3}{5}[/tex] of them to make a smoothie. How many pounds of blueberries did Maggi use to make the smoothie?

A. [tex]\frac{18}{20}[/tex]
B. [tex]\frac{3}{20}[/tex]
C. [tex]\frac{9}{20}[/tex]
D. [tex]\frac{6}{20}[/tex]

Answer :

To find out how many pounds of blueberries Maggi used to make the smoothie, we need to calculate [tex]\(\frac{3}{5}\)[/tex] of [tex]\(\frac{3}{4}\)[/tex] pound of blueberries.

Here's a step-by-step breakdown of the process:

1. Identify the total blueberries: Maggi bought [tex]\(\frac{3}{4}\)[/tex] pound of blueberries.

2. Determine the fraction used: Maggi used [tex]\(\frac{3}{5}\)[/tex] of the total blueberries for the smoothie.

3. Calculate the amount used for the smoothie: We need to multiply the total amount of blueberries by the fraction used for the smoothie. So, we calculate:
[tex]\[
\text{Amount used} = \frac{3}{4} \times \frac{3}{5}
\][/tex]

4. Perform the multiplication:
[tex]\[
\frac{3}{4} \times \frac{3}{5} = \frac{3 \times 3}{4 \times 5} = \frac{9}{20}
\][/tex]

Therefore, Maggi used [tex]\(\frac{9}{20}\)[/tex] pounds of blueberries to make the smoothie. Hence, the correct answer is [tex]\(\frac{9}{20}\)[/tex].