of the 125 students enrolled at a dance studio, 96 take ballet and 50 take jazz. of those that take ballet…

of the 125 students enrolled at a dance studio, 96 take ballet and 50 take jazz. of those that take ballet, 28 also take jazz. which of the following is the correct venn diagram that represents this information?

of the 125 students enrolled at a dance studio, 96 take ballet and 50 take jazz. of those that take ballet, 28 also take jazz. which of the following is the correct venn diagram that represents this information?

Answer

Explanation:

Step1: Calculate number of only - jazz students

The number of students who take jazz is 50, and 28 of them also take ballet. So the number of students who take only jazz is $50 - 28=22$.

Step2: Calculate number of only - ballet students

The number of students who take ballet is 96, and 28 of them also take jazz. So the number of students who take only ballet is $96 - 28 = 68$.

Answer:

The second Venn - diagram (the one with 22 in the non - overlapping part of the jazz circle, 28 in the overlapping part, and 68 in the non - overlapping part of the ballet circle) is correct.