Question

350 students were asked if they liked soccer or football. 200 said they liked soccer, and 180 said they liked football. How many students liked both soccer and football?​

Answer 1

To find the number of students who liked both soccer and football, we can use the principle of inclusion-exclusion.

First, we add the number of students who liked soccer (200) and the number of students who liked football (180). This gives us a total of 380 students who liked either soccer or football.

However, we need to subtract the number of students who liked both soccer and football to avoid counting them twice.

Let's say x represents the number of students who liked both soccer and football.

So, 200 + 180 - x = 380.

By rearranging the equation, we find that x = 380 - 200 - 180 = 0.

Therefore, there were no students who liked both soccer and football in this group of 350 students.

Answer 2

30 students

Explanation:

Since 350 students have been asked and there were 380 answers, the number of people who chose two options is equal to the difference of answers and students. This can be found by subtracting 350 from 380.

380 - 350 = 30 students

Therefore 30 students liked both soccer and football. Hope this helps :)