Answered

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InstructionGary is making a casserole but only needs 1/3 of theoriginal serving size. If the number of servings Garyneeds is 4. how many servings did the original recipemake?How many servings did the original recipe make?Show result

Sagot :

12 servings

Explanation

you can easily solve this by using a rule of three

Step 1

Gary is making a casserole( 4 servings) but only needs 1/3 of the

original serving size,then

[tex]\begin{gathered} if\text{Gary} \\ \frac{1}{3}\text{ of the original serving size}\rightarrow4\text{ serving } \\ \text{the relation is} \\ \frac{\frac{1}{3}}{\frac{4}{1}}=\frac{1}{12} \end{gathered}[/tex]

Step 2

Let

x represents the number of servings in the original recipe(1),then

[tex]\begin{gathered} 1\rightarrow x \\ \text{the relation is the same, so} \\ \frac{1}{x}=\frac{1}{12} \end{gathered}[/tex]

Step 3

solve for x

[tex]\begin{gathered} \frac{1}{x}=\frac{1}{12} \\ 12\cdot1=1\cdot x \\ x=12 \end{gathered}[/tex]

the original recipe made 12 servings

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