Answer:
64 servings
Step-by-step explanation:
Given:
- 1 gallon = 16 cups
- Recipe uses [tex]1 \dfrac{1}{2}[/tex] cups of milk for 6 servings
First, convert [tex]1 \dfrac{1}{2}[/tex] cups to an improper fraction:
[tex] 1 \dfrac{1}{2} = \dfrac{1\times 2 +1}{2}=\dfrac{3}{2} \textsf{ cups} [/tex]
Next, calculate how much milk is used per serving:
[tex] \textsf{Milk per serving} = \dfrac{3}{2} \textsf{ cups} \div 6 \textsf{ servings} \\\\= \dfrac{3}{2} \times \dfrac{1}{6}\\\\ = \dfrac{3}{12} \\\\= \dfrac{1}{4} \textsf{ cup per serving} [/tex]
Now, calculate the number of servings that can be made with 1 gallon (16 cups) of milk:
[tex] \textsf{Number of servings} = \dfrac{16 \textsf{ cups}}{\dfrac{1}{4} \textsf{ cup per serving}} \\\\= 16 \textsf{ cups} \times 4 \textsf{ servings per cup} \\\\= 64 \textsf{ servings} [/tex]
Therefore, Jason can make [tex] \boxed{\boxed{64}} [/tex] servings with 1 gallon of milk.
