)results of a survey of fifty students indicate that 30 like red jelly beans, 29 like green jelly beans, and 17 like both red and green jelly beans. how many of the students surveyed like red or green jelly beans?

25 students like red or green jelly beans.

Explanation:

In order to give a correct answer to the question we must make one thing clear: students that like red or green jelly beans are those that only like one kind, regardless of which kind it is, and do not like the other. Having made this clear,  we should calculate the following way:

R(ed): 30

G(reen): 29

B(oth): 17.

If there are 17 of them that like both kinds of jelly beans, there are 17 of them that like both and those are also taken into account for the red and green statistics. In order to provide a number of students that like either red or green, we must ignore those who like both. Therefore:

ONLY R = R - B = 30 - 17 = 13

ONLY G = G - B = 29 - 17 = 12

R or G = ONLY R + ONLY G = 13 + 12 = 25

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