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Ms. Green has 30 acres of farmland. She planted [tex]\frac{3}{4}[/tex] of her farmland with potatoes. How many acres did Ms. Green plant with potatoes?

A. [tex]\frac{60}{4}[/tex] or 15 acres
B. [tex]\frac{33}{4}[/tex] or [tex]8 \frac{1}{4}[/tex] acres
C. [tex]\frac{90}{120}[/tex] or [tex]\frac{3}{4}[/tex] acres
D. [tex]\frac{90}{4}[/tex] or [tex]22 \frac{2}{4}[/tex] acres

Answer :

To find out how many acres Ms. Green planted with potatoes, we need to calculate [tex]\(\frac{3}{4}\)[/tex] of her 30 acres of farmland:

1. Start with the total amount of farmland Ms. Green has, which is 30 acres.

2. Determine how much of the farmland is planted with potatoes. According to the problem, this is [tex]\(\frac{3}{4}\)[/tex] of the total farmland.

3. Calculate [tex]\(\frac{3}{4}\)[/tex] of 30 acres:
[tex]\[
\text{Acres planted with potatoes} = 30 \times \frac{3}{4}
\][/tex]

4. Perform the multiplication:
[tex]\[
30 \times \frac{3}{4} = 30 \times 0.75 = 22.5
\][/tex]

So, Ms. Green planted 22.5 acres with potatoes.

Therefore, the correct answer is 22.5 acres.

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