Question

Next Tuesday, Cordelia is catering a proposal dinner for her brother. If she wants to serve her macaroni and cheese at this dinner for 2, she will use _____ cup(s) of Parmesan cheese. The recipe includes that 1/2 Cups of Parmesan cheese serves 4 people.

Answer 1

Answer: $\frac{1}{4}\ cups$

Step-by-step explanation:

For this exercise it is important to analize the information given in the exercise.

 According to the data provided in the exercise, the recipe says that $\frac{1}{2}\ cups$  of Parmesan serves four people.

 The, let be "x" the amount of cups of Parmesan cheese that Cordelia will use for her brother's proposal dinner.

In this case, since the proposal dinner is for two people, you can set up the following proportion:

$\frac{4}{\frac{1}{2}}=\frac{2}{x}$

Finally, you must solve for "x" in order to find its value, as you can observe below:

$8=\frac{2}{x}\\\\8x=2\\\\x=\frac{2}{8}\\\\x=\frac{1}{4}$

Therefore, knowing the value of "x", you can determine that Cordelia will use $\frac{1}{4}\ cups$  of Parmesan cheese for the proposal dinner.