Question

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

Answer 1

12 servings

Step-by-step 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

`\begin{gathered} if\text{Gary} \\ (1)/(3)\text{ of the original serving size}\rightarrow4\text{ serving } \\ \text{the relation is} \\ ((1)/(3))/((4)/(1))=(1)/(12) \end{gathered}`

Step 2

Let

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

`\begin{gathered} 1\rightarrow x \\ \text{the relation is the same, so} \\ (1)/(x)=(1)/(12) \end{gathered}`

Step 3

solve for x

`\begin{gathered} (1)/(x)=(1)/(12) \\ 12\cdot1=1\cdot x \\ x=12 \end{gathered}`

the original recipe made 12 servings