A class of 40 students was surveyed about their participation in sports. - 25 students play football. - 20 students play basketball. - 15 students play both football and basketball. a) How many students play only football? (1mk) b) How many students play only basketball? (1mk) c) How many students do not play either sport? (1mk)

To tackle the problem, let’s break down the survey results using some basic set theory. a) To find the number of students who play only football, we take the total number of students who play football (25) and subtract those who play both sports (15). So, 25 - 15 = 10 students play only football. b) Now, for the students who play only basketball, we take the total number of basketball players (20) and subtract those who play both sports (15). Thus, 20 - 15 = 5 students play only basketball. c) To determine how many students do not participate in either sport, we first need to find the total number of students who play at least one sport. This can be calculated as (students playing only football + students playing only basketball + students playing both sports). That's 10 + 5 + 15 = 30 students. Since there are 40 students in total, we subtract the 30 active sports players from 40, resulting in 10 students who do not play either sport.