Question

I CAN COMPARE UNIT RATES. 20. The recipe below shows the amount of each ingredient required to make four servings of pasta. Based on this information, determine the amount of each ingredient needed to make 10 servings. 1 3/4 cups of cheese, 2/3 cups of milk . 2 1/2 cups of pasta.

Answer 1

If each amount shown is used to created four servings, in order to find the necessary amount of each ingredient to make 10 servings, we can use the rule of three for each ingredient:

`\begin{gathered} 4\text{ servings}\to1\text{ 3/4 cups of cheese} \\ 10\text{ servings}\to x\text{ cups of cheese} \\ \\ (4)/(10)=(1(3)/(4))/(x) \\ (4)/(10)=((7)/(4))/(x) \\ 4x=(70)/(4) \\ x=(70)/(16)=(35)/(8)=4(3)/(8) \end{gathered}`
`\begin{gathered} 4\text{ servings}\to(2)/(3)\text{cups of milk} \\ 10\text{ servings}\to x\text{ cups of milk} \\ \\ (4)/(10)=((2)/(3))/(x) \\ 4x=(20)/(3) \\ x=(20)/(12)=(10)/(6)=(5)/(3)=1(2)/(3) \end{gathered}`
`\begin{gathered} 4\text{ servings}\to2(1)/(2)\text{ cups of pasta} \\ 10\text{ servings}\to x\text{ cups of pasta} \\ \\ (4)/(10)=(2(1)/(2))/(x) \\ (4)/(10)=((5)/(2))/(x) \\ 4x=(50)/(2) \\ x=(50)/(8)=(25)/(4)=6(1)/(4) \end{gathered}`

So the amount of each ingredient is 4 3/8 cups of cheese, 1 2/3 cups of milk and 6 1/4 cups of pasta.