The summary of a survey of 500 students listed the following totals:

* 259 students did math homework
* 219 students did English homework
* 238 students did science homework
* 108 students did English and science homework
* 81 students did science and math homework
* 85 students did math and English homework
* 40 students did no homework

How many students did math, science, and English homework?

1 answer

To find the number of students who did math, science, and English homework, we need to find the intersection of all three sets: math, science, and English.

Let's break down the given information:

- 259 students did math homework.
- 219 students did English homework.
- 238 students did science homework.
- 108 students did English and science homework.
- 81 students did science and math homework.
- 85 students did math and English homework.
- 40 students did no homework.

To find the number of students who did math, science, and English homework, we can add up the numbers of students who did each combination and find the intersection:

108 (English and science) + 81 (science and math) + 85 (math and English) = 274.

So, 274 students did math, science, and English homework.