Question

The Venn diagram represents enrollment in various classes at a certain high school. 12 students take math (Math) only. 11 students take English (Eng) only. 16 students take biology (Bio) only. 30 students are enrolled in math and English, but not biology. 15 students are enrolled in all three classes. 200 students attend the school, and 16 students take biology and English, but not math. How many students are enrolled in math and biology, but not English?

Answer 1

100 students

you take 200 and subtract all the other totals from it

Answer 2

The number of students who are enrolled in math and biology, but not English are:

100 students

Explanation:

Let x be the number of students enrolled in Math and Biology but not English.

Hence, with the help of the Venn diagram attached to the answer we may conclude that the sum of all the students that are represented is equal to the number of students attending the school.

i.e. we have:

`12+11+16+30+15+16+x=200\\\\i.e.\\\\100+x=200\\\\i.e.\\\\x=200-100\\\\i.e.\\\\x=100`

Hence, the number of students who get enrolled in Math and Biology but not English are:

100