The right answer is Option B.
Step-by-step explanation:
Given,
Amount of olive oil used for 4 servings = [tex]\frac{1}{3}[/tex]
Ratio of olive oil to servings = [tex]\frac{1}{3}:4[/tex]
Let,
x represents the amount of olive oil used for 20 servings.
Ratio of olive oil to servings = x:20
Using proportion
Ratio of olive oil to servings :: Ratio of olive oil to servings
[tex]\frac{1}{3}:4::x:20[/tex]
Product of mean = Product of extreme
[tex]4x=20*\frac{1}{3}\\4x=\frac{20}{3}[/tex]
Dividing both sides by 4
[tex]\frac{4x}{4}=\frac{20}{3}*\frac{1}{4}\\x=\frac{5}{3}\\x=1\frac{2}{3}[/tex]
Rachel will use [tex]1\frac{2}{3}[/tex] cups of olive oil.
The right answer is Option B.
Keywords: ratio, proportion
Learn more about proportion at:
- brainly.com/question/909731
- brainly.com/question/902892
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