Question

There are 250 students in the senior class at Stats High School. Some are involved in clubs and some have part-time jobs. 130 students have a part-time job (some of these students may be in a club). 110 students are involved in a club (some of these students may have a job). 100 students are NOT involved in a club and do NOT have a part-time job

1. Draw a Venn diagram to illustrate the data.

Answer 1

Answer: ( i had a problem with this question too and i looked it up for a tutorial and i saw that some guy replied random things for points, so after i found the explanation, i came back here to give you a proper answer.)

Write 100 outside the circles to represent the students who do not have a job and are not in a club.

There are a total of 250 students, and 100 of them are not in the circles. So the remaining 150 must be included in the job and club circles.

The total number in the job subset is 130, and the total number in the club subset is 110. Together, this is 240 students, but there is only room for 150.

This means that 90 of the students are included in the intersection (both job and club).

The total number of students with jobs is 130, but 90 are already included in the intersection. Therefore, the difference of 40 students only have jobs.

The total number of students in a club is 110, but 90 have both jobs and attend a club. So the remaining 20 students must only attend a club.