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? students (b) how many of the students drink tea or soda (or both)? students (c) how many of the students do not drink both tea and soda? students

Explanation:

Step1: Calculate soda drinkers

Add overlapping and soda-only students:
$66 + 199 = 265$

Step2: Calculate tea/soda drinkers

Sum all three Venn sections:
$97 + 66 + 199 = 362$

Step3: Identify non-drinkers

Use the outside Venn number:
$87$

Answer:

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