Leon is using the recipe shown.

212 pounds sweet potatoes, peeled and sliced

23 cup olive oil

2 teaspoons cinnamon
Leon only has one teaspoon of cinnamon. How much olive oil will he need to use with this amount of cinnamon?

Respuesta :

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

Learn more about ratios at:

  • brainly.com/question/6541303
  • brainly.com/question/6530759

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