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

Answer :

Sure! Let's go through the solution step by step:

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

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

3. Calculate how many pounds of blueberries were used for the smoothie:
- To find the exact amount she used, multiply the total amount of blueberries by the fraction used:
[tex]\[
\text{Blueberries used} = \frac{3}{4} \times \frac{3}{5} = \frac{3 \times 3}{4 \times 5} = \frac{9}{20}
\][/tex]

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

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