Question

a college food court surveyed 449 students to see how many drink tea and how many drink soda. the venn diagram below shows the results. (each number gives the number of students who fall into that venn diagram category.) (a) how many of the students drink soda? 265 students (b) how many of the students drink tea or soda (or both)? 362 students (c) how many of the students do not drink both tea and soda? 87 students

Explanation:

Step1: Calculate soda drinkers

Add students who drink only soda and both: $199 + 66 = 265$

Step2: Calculate tea or soda drinkers

Add all in the two circles: $97 + 66 + 199 = 362$

Step3: Find non-drinkers of both

Use the number outside the circles: $87$

Answer:

(a) 265 students
(b) 362 students
(c) 87 students