In the pie chart shown, 80 students chose juice. How many students chose milk?
(A) 120
(B) 160
(C) 240
(D) 180
(E) 80

![](https://cdn.mathpix.com/cropped/2024_04_20_46ead6524a8d61e21c51g-016.jpg?height=209&width=206&top_left_y=1256&top_left_x=1315)
Solution 1

One complete rotation equals $360^{\circ}$.

Since $90^{\circ}$ is $\frac{90^{\circ}}{360^{\circ}}=\frac{1}{4}$ of one complete rotation, then $\frac{1}{4}$ of all students chose juice.

Therefore, the remaining $1-\frac{1}{4}=\frac{3}{4}$ of all students chose milk.

Since $\frac{3}{4}$ is $3 \times \frac{1}{4}$, then $3 \times 80=240$ students chose milk.

Solution 2

As in Solution $1, \frac{1}{4}$ of all students chose juice.

Since the 80 students who chose juice represent $\frac{1}{4}$ of the total number of students, then the total number of students is $4 \times 80=320$.

Therefore, $320-80=240$ students chose milk.

ANSWER: (C)