Question

a college food court surveyed 674 students to see how many drink tea, how many drink soda, and how many drink milk. 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 tea? students (b) how many of the students drink neither tea nor milk? students (c) how many of the students drink both soda and milk, but don’t drink tea? students

Explanation:

Step1: Identify parts for tea - drinkers

Sum up regions in tea - circle.
$66 + 37+145 + 51$

Step2: Calculate the sum

$66+37 + 145+51=299$

Step3: Identify parts for non - tea and non - milk drinkers

Sum up regions outside tea and milk circles.
$147$

Step4: Identify part for soda and milk but not tea

The region in intersection of soda and milk circles outside tea circle.
$71$

Answer:

(a) 299 students
(b) 147 students
(c) 71 students