He will use 11 and half cups of olive oil to use with 1 teaspoon of cinnamon.
Step-by-step explanation:
Given,
Olive oil used in recipe = 23 cups
Cinnamon used in recipe = 2 teaspoons
Ratio of cinnamon to olive oil in recipe = 2:23
Cinnamon Leon has = 1 teaspoon
Let x be the olive oil.
Ratio of available cinnamon to olive oil = 1:x
Using proportion;
Ratio of cinnamon to olive oil in recipe :: Ratio of available cinnamon to olive oil
[tex]2:23::1:x[/tex]
Product of extreme = Product of mean
[tex]2*x=23*1\\2x=23[/tex]
Dividing both sides by 2;
[tex]\frac{2x}{2}=\frac{23}{2}\\x=11.5[/tex]
11.5 can also be written as [tex]11\frac{1}{2}[/tex]
He will use 11 and half cups of olive oil to use with 1 teaspoon of cinnamon.
Keywords: ratio, proportion
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