Question

Of 100 students surveyed, 33 like orange soda, 55 like cola, and 14 like both. How many students do NOT like orange soda?

My answer=67.

Am I correct?

Answer 1

33+55-14 = 74 students liked something
That means 26 liked nothing

So, the number not liking orange is 26+(76-33) = 69

How did you arrive at 67?

As usual, check my math

Answer 2

Hi,

Since 100 students were surveyed and only 74 mentioned liking either of the sodas, that leaves 26 liking neither.

When I made the venn diagram, I subtracted 14 from 55 (cola) and came up with 41. I added 41 and 26 and got 67 students that did not like orange soda.

Answer 3

Hope this helps!

Answer 4

its 41 actually . this is more of a riddle than it is a math question. normally you would think to just subtract but its more complicated than that. we know that there is more to the question because 33, 55 & 14 don't add up to 100.

here's what we know..
14 of the 55 people that like cola also like orange soda.
the rest don't.
14 of the 33 people that like orange soda also like cola.
the rest don't.

meaning that to answer this question we have to subtract 14 from 55.
your answer is 41.