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try again (c): your answer is incorrect. a college food court surveyed …

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: Confirm (a) calculation

Add soda-only + both: $199 + 66 = 265$

Step2: Confirm (b) calculation

Add tea-only + soda-only + both: $97 + 199 + 66 = 362$

Step3: Calculate (c) correctly

Subtract both from total: $449 - 66 = 383$

Answer:

(a) 265 students
(b) 362 students
(c) 383 students