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MathNet 2018-part-01 — 181 problems (EN–VI) Question 148

Math Olympiad Vault · MathNet 2018-part-01 — 181 problems (EN–VI)

Question 148

In a class of 35 students, a survey was made about their tastes regarding mathematics and literature, and it was found that:
- 7 boys like mathematics;
- 6 boys like literature;
- 5 boys and 8 girls said they like neither of the two;
- there are 16 boys in the class;
- 5 students like both; and
- 11 students like only mathematics.

a) How many boys like mathematics and literature?
b) How many girls like only literature?