Question

A school offers three subjects: math, art and science. at least 80% of students study both math and art. at least 80% of students study both math and science. prove that at least 80% of students who study both art and science, also study math.

Answer 1

The proof to show that at least 80% of students who study both art and science, also study math is illustrated below.

How to illustrate the proof?

From the information given, it was stated that at least 80% of students study both math and art and that at least 80% of students study both math and science.

Therefore, about (100 - 80) 20% doesn't study the combination of both subjects.

Here, those students who study both art and science, and also study math will be:

= 100% - 20%

= 80%

Therefore, at least 80% study the subjects.

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