Question

A survey of 100 randomly selected students gave the following information:

45 are taking math
41 are taking English
40 are taking history
15 are taking math and English
18 are taking math and history
17 are taking English and history
7 are taking all three
How many students are only taking mathematics?

Answer 1

ONLY so im going with 45

Answer 2

nope, this can be visually seen with venss, but the mathing still works the same; start with the "all three" and peel your way out

Answer 3

7 are taking all three; MnEnH = 7

15 are taking math and English; MnE = 15-7 = 8
18 are taking math and history; MnH = 18-7 = 9
17 are taking English and history; EnH = 17-7=10



45 are taking math; but we already have 7+8+9 accounted for

45 - 7 - 8 - 9 = those only taking math