Basic word problem

Question

In a survey of 100 students, the numbers taking various courses were found to be English, 64 ; mathematics, 46; chemistry, 56; English & mathmatics,26; English & chemestry,32; mathematics and chemistry 36, and all courses in all three areas, 21.  

How many students were taking mathematics, but neither English nor chemistry?

how many were taking mathematics and chemistry, but not English? 

how many were taking English & chemistry, but not mathematic?

 

Answer 1

Basic Math, eh? This problem must be worked using a Venn diagram having three circles that partially overlap one another.

This creates 8 distinct regions, the innermost of which represents # of persons taking all three kinds of courses.

Place appropriate numbers in each distinct region such that the totals are consistent. Your textbook should have a sufficient number of examples to study. Good luck.