In a school, 500 students voted on each of two issues. Of these students, 375 voted in favour of the first issue, 275 voted in favour of the second, and 40 students voted against both issues. How many students voted in favour of both issues?
(A) 110
(B) 150
(C) 190
(D) 95
(E) 230
Let $x$ be the number of students who voted in favour of both issues. We construct a Venn diagram of the results of the vote:

Since the total number of students is 500 , then

$375-x+x+275-x+40=500$

$$
\begin{array}{r}
690-x=500 \\
x=190
\end{array}
$$

So 190 students voted in favour of both.

![](https://cdn.mathpix.com/cropped/2024_04_20_faa9db06d997f2a5b9b1g-212.jpg?height=317&width=651&top_left_y=660&top_left_x=1184)

ANSWER: (C)