Final answer:
By calculating the total number of students based on the percentage of girls (35%) and the given number of girls (28), we find that there are 52 boys in the class. The number of boys exceeds the number of girls (28) by 24.
Step-by-step explanation:
To find out by how many the number of boys exceeds that of girls in a class where boys make up 65% of the students with a total of 28 girls, we need to perform a few calculations.
First, we establish the total number of students in the class. If 65% represents the boys, then the remaining 35% represents the girls. Knowing there are 28 girls, we can set up a proportion:
35% / 28 girls = 100% / total students
Solving for the total number of students, we get:
total students = 28 girls * (100 / 35) = 28 * (100 / 35) = 80 students
As boys represent 65% of these 80 students, we calculate the number of boys:
number of boys = 65% of 80 students = 0.65 * 80 = 52 boys
To find the difference between the number of boys and girls, we subtract the total number of girls from the total number of boys:
difference = number of boys - number of girls = 52 - 28 = 24
Therefore, the number of boys exceeds the number of girls by 24.