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
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