Question

At a small midwestern college:

31 female seniors were on the dean's list

63 women were on the dean's list who were not seniors

46 male seniors were on the dean's list

91 female seniors were not on the dean's list

98 male seniors were not on the dean's list

277 women were not seniors and were not on the dean's list

93 men were on the dean's list who were not seniors

230 men were not seniors and were not on the dean's list

How many were seniors on the dean's list

Answer 1

difficult one eh?

Answer 2

31 female seniors were on the dean's list 46 male seniors were on the dean's list looks like these two are the only two that apply

Answer 3

Will a Venn Diagram help?

Answer 4

My diagram isn't drawn correctly, but it helps to sort out the numbers. I agree with Zarkon, the 31 and 46 are the only two that apply. A more interesting question to me would be how students in the student body.

See the attach image.

Answer 5

31F & 46M=78 seniors

Answer 6

try drawing out a venn diagram that looks like the attached below. Then replace A, B, C, and D with the desired sets and fill in the rest of the info. Keep in mind where each region lies (there are a lot of them).

Answer 7

I would just use 3 sets. Female,senior, Dean's list