SOLUTION: Of 100 students, 42 took mathematics, 38 took chemistry, and 20 took both Mathematics and chemistry. How many took neither mathematics nor chemistry?

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Question 268469: Of 100 students, 42 took mathematics, 38 took chemistry, and 20 took both
Mathematics and chemistry. How many took neither mathematics nor chemistry?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Draw 2 circles with an intersecting area.
Label the intersecting area 20(m + c)
Label the circles 42m and 38c
There are 42+-+20+=+22 taking only math
There are 38+-+20+=+18 taking only chem
22+%2B+18+=+40 taking neither