Question

Mrs. Smith surprised her 30 students with cookies. She gave them a choice of chocolate chip, peanut butter and sugar cookies. 5 students had only a chocolate chip cookie, 3 had only a peanut butter cookie, and 2 had only a sugar cookie. 5 students had a chocolate chip cookie and a peanut butter cookie, 5 students had a sugar cookie and a peanut butter cookie, 6 had a chocolate chip and a sugar cookie, and 4 students had all three. How many students were vegans and chose not to have a cookie?

Answer 1

I only have 10 minutes to submit this! Please help me..

Answer 2

no experience with Venn diagrams?

The numbers are for disjoint sections of the diagram, so there's no overlap. They add up to 26, meaning that 4 students fit none of the categories.

No idea whether the choice to eschew the cookies (rather than chewing them) was because they were vegan.

FYI, running here for help at the last minute will likely make you miss your deadline, most of the time.

Answer 3

Mrs. Smith surprised her 30 students with cookies. She gave them a choice of chocolate chip, peanut butter and sugar cookies. 5 students had only a chocolate chip cookie, 3 had only a peanut butter cookie, and 2 had only a sugar cookie. 5 students had a chocolate chip cookie and a peanut butter cookie, 5 students had a sugar cookie and a peanut butter cookie, 6 had a chocolate chip and a sugar cookie, and 4 students had all three. How many students were vegans and chose not to have a cookie?
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Answer 4

Mrs. Smith surprised her 30 students with cookies. She gave them a choice of chocolate chip, peanut butter and sugar cookies. 5 students had only a chocolate chip cookie, 3 had only a peanut butter cookie, and 2 had only a sugar cookie. 5 students had a chocolate chip cookie and a peanut butter cookie, 5 students had a sugar cookie and a peanut butter cookie, 6 had a chocolate chip and a sugar cookie, and 4 students had all three. How many students were vegans and chose not to have a cookie?