Final answer:
To determine the number of boys who do not participate in sports, subtract the number of girls from the total number of students to find the number of boys. Then, calculate the total number of students not participating in sports and subtract the estimated number of non-participating girls to find the number of non-participating boys.
Step-by-step explanation:
To calculate how many boys do not participate in sports, we use the information provided. The total number of students is 750, and out of these, 320 are girls, which means there must be 750 - 320 = 430 boys. We are told that 559 students participate in some kind of sports, and 101 do not participate at all. Assuming the 101 students who don't participate in sports are a mix of boys and girls, let's find out how many boys are in this group.
First, we deduce the total number of students who do not participate in sports: 750 total students - 559 students who do sports = 191 students who do not do sports. Out of the 191 students who don't participate in sports, we already know that 101 are accounted for, but we need the number of boys included in this non-participating group.
Since there are 320 girls, and assuming the non-sport participation is spread evenly across boys and girls, we can presume that the proportion of non-participating students who are girls would be (320/750) * 191, rounded if necessary. After calculating the number of girls who don't participate in sports, we subtract this number from the total number of non-sporty students (191) to find the number of boys who don't participate in sports.