Question

try again (c): your answer is incorrect. 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.) all students in the survey drink tea drink soda 97 66 199 87 (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: Identify target group

We need students who do NOT drink both tea and soda. This includes students who drink only tea, only soda, and neither.

Step2: Sum relevant groups

Add students who drink only tea, only soda, and neither:
$97 + 199 + 87$

Step3: Calculate total

$97 + 199 = 296$; $296 + 87 = 383$

Alternatively, we can calculate it by subtracting the number of students who drink both from the total:

Step1: Total minus both drinkers

Total students: 449; students who drink both: 66

Step2: Compute result

$449 - 66 = 383$

Answer:

383 students