Ellie's favorite recipe requires 3 eggs and makes 6 servings. Grace modifies the recipe by using 7 eggs and increasing all other ingredients proportionally. What is the total number of servings the modified recipe will make?

Respuesta :

The modified recipe will make 14 servings.

Step-by-step explanation:

Given,

Eggs used = 3

Servings made = 6

Ratio of eggs to servings = 3:6

Eggs used in modified recipes = 7

Let,

x be the number of servings = x

Ratio of eggs to servings = 7:x

Using proportion;

Eggs to servings :: Eggs to servings

3:6::7:x

Product of mean = Product of extreme

[tex]6*7=3*x\\42=3x\\3x=42[/tex]

Dividing both sides by 3

[tex]\frac{3x}{3}=\frac{42}{3}\\x=14[/tex]

The modified recipe will make 14 servings.

Keywords: ratio, proportion

Learn more about proportion at:

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