ln a certain college with 500 students, 300 take milk and 250 take tea .findhow many take a ) milk only b) tea only c ) both tea and milk .
Answers
Given,
The total number of students = 500
Total number of students who take milk = 300
Total number of students who take tea = 250
To find,
The number of students who take milk only the number of students who take tea only and the number of students to take both tea and milk.
Solution,
Total students = Total number of students who take only milk + Total number of students who take only tea + Total number of students who take both tea and milk ....(1)
Total number milk taker = Total number of students who take both tea and milk + Total number of students who take only milk ....(2)
Total number tea taker = Total number of students who take both tea and milk + Total number of students who take only tea .... (3)
Now, by adding (2) and (3), we get that
Total milk taker + Total tea taker = Total number of students who take both tea and milk + Total number of students who take only milk + Total number of students who take both tea and milk + Total number of students who take only tea
Total milk taker + Total tea taker = Total number of students who take both tea and milk + Total number of students who take both tea and milk + Total number of students who take only milk total number of students to take only tea
Total milk taker + Total tea taker = Total students who take both tea and milk + Total students
300+250 = Total students who take both tea and milk + 500
Total students who take both tea and milk = 550-500
Total students who take both tea and milk = 50
Now,
Total students who only take milk = 300-50 = 250
Total students who only take tea = 250 -50 = 200
Hence, 250 students take only milk, 200 students take only tea and 50 students take both milk and tea.