In a school of 750 students,350 are girls.559 students do some kind of sport.if 101 girls do no sport,how many boys also do no sport using Venn diagram and show workings
- draw 2 disjointed circles for the boys and girls,
- draw a circle intersecting both of those two circles, the two separate overlaps would be boys playing sports and girls playing sports.
We are told that 101 girls do not sport, so fill that in
We are told that there are 350 girls, so 249 girls play sports
Fill in that part.
We are told that 559 students play sports, and we know 249 of those are girls, so 310 boys play sports. Fill in that part of the Venn diagram.
That leaves us with "boys not playing sports" as the only missing part.
But there were 750 students, so
number of boys not playing sports = 750 - (101+249+310) = 90
Am not sure
To find the number of boys who do not participate in any sports using a Venn diagram, we need to follow these steps:
Step 1: Draw a rectangle to represent all the students in the school.
Step 2: Inside the rectangle, draw two overlapping circles. One circle represents all the girls, and the other circle represents the students who do some kind of sport.
Step 3: Label the intersection of the two circles with the number of girls who do some kind of sport. In this case, it is 101, which means 101 girls do not participate in any sports.
Step 4: Label the non-overlapping regions of the circles. One region represents the girls who do not participate in any sport, and the other region represents the boys who do not participate in any sport.
Step 5: Determine the number of girls who do not participate in any sport. From the given information, we know that there are 350 girls in total, and 101 of them do not participate in any sport. Therefore, the number of girls who do participate in some sport is 350 - 101 = 249.
Step 6: Determine the number of boys who do not participate in any sport. Since the total number of students in the school is 750, and the number of girls is 350, the number of boys must be 750 - 350 = 400.
Step 7: Since the number of boys who do not participate in any sport is the remaining number in the non-overlapping region labeled earlier, we subtract the number of girls who do not participate in any sport from the total number of boys. Therefore, the number of boys who do not participate in any sport is 400 - 101 = 299.
So, using the Venn diagram and the given information, we have determined that there are 299 boys who do not participate in any sport in the school.