Question

According to a student survey, 16 students liked history, 19 liked English, 18 liked math, 8 liked math and English, 5 liked history and English, 7 liked history and math, 3 liked all three subjects.
Draw a Venn diagram to answer the following:
A) How many students were in the survey?
B) How many students liked only math?
C) How many students liked English and math, but not history.

Answer 1

I hope this isn't a trick question.
a) 76--add them up.
b)18--it says so int he problem
c)8--it says so in the problem, too?

I mean there's no use in counting the 3 who liked all 3 in b or c. So you're just left with whatever the question asks.

Answer 2

Idk how to draw the Venn diagram

Answer 3

I don't think that's right because the venn diagram is only suppose to include a, b, and c.

Answer 4

take a screen shot of the ven diagram;]

Answer 5

a) there are 33 students in survey
b)6 like only math
c)5 students like English and Math
I will try to draw it out

Answer 6

For C, wouldn't I add together all the numbers together from the students who don't like history? Like, 19 liked English, 18 liked math, and 8 liked math and English.

Answer 7

No. The operator here is and. And requires both conditions be true. You wouldn't say "I want to eat apples and oranges today" and be satisfied with just an apple would you? Or you wouldn't point to a baby saying "Oh! He has blue eyes and brown hair" while in reality the baby has brown eyes and brown hair. In fact, here there are three conditions:
likes english AND likes math AND doesn't like history.

Answer 8

I looked at the teachers answers and they were 36, 6, and 20, but she didn't put a Venn diagram and that's the part I still don't understand :(

Answer 9

Well that seems odd. If there were really 36 students, then from the initial conditions, it was given that 16 liked history. Therefore, the 20 came from 36-16=20. If that's acceptable, then that's how 20 got there. However, as to the grammatical strength and mathematical rigor of that question, I'd argue otherwise. Because to include the ones that only liked math is an or condition not an and condition.

Answer 10

I think the Venn Diagram should be like this

Answer 11

Do you understand how to make this Venn Diagram? :)


you can answer the question by using this Venn Diagram..., and you'll get the same result as your teacher... :)