SOLUTION: In a group of 30 students, 12 are studying mathematics, 18 are studying English, 8 are studying science, 7 are studying both mathematics and English, 6 are studying English and sci

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: In a group of 30 students, 12 are studying mathematics, 18 are studying English, 8 are studying science, 7 are studying both mathematics and English, 6 are studying English and sci      Log On


   



Question 810726: In a group of 30 students, 12 are studying mathematics, 18 are studying English, 8 are studying science, 7 are studying both mathematics and English, 6 are studying English and science, 5 are studying mathematics and science, and 4 are studying all three subjects. How many of these students are taking only English? How many of these students are not taking any of these subjects?
Please explain the steps on how you got the answer.

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
You should draw a Venn diagram.
If I didn't mess up
5 are just studying English.
18 total are studying English.
18-7-4-2=5 only studying English
30-5-7-4-2-1-1=10
10 are not studying English, Math nor Science