Question

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

Answer 1

what do you think

Answer 2

I am thinking it is either 67 or 69.

Answer 3

55 like cola and 14 like both so i would go with 55

Answer 4

I am not sure. Because when I solve it after making a venn diagram, I get 67. When I asked a tutor on a different site, he told me 69. I am not sure.

Answer 5

lets think about this

spose we have 2 groups, that have something in common


A = 1+2
B = 2+3

yet we know that A and B make up the total amount

given that the total amount is 6, what went wrong with adding A to B?

Answer 6

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


like orange = 33, or rather 19+14
like soda = 55, or rather 41+14

iof those that like orange, 33, only 14 of them like both, so 19 is left over that just like orange alone

Answer 7

i hate these reverse negative questions ....

not like orange is therefore 55 - 14 = 41 that is

Answer 8

and i assumed the total of the sets was 100 which is an error on my part as well

100 = 33 + 55 - 14 + (dont like either)

114 - 88 = (dont like either)

26 = (dont like either)

so we have to count them as well as the 41 already accounted for

26 + 41