Question

In a hostel there are 500 students, out of which 275 drink tea, 130 drink coffee and 260 drink tea and coffee both. Find the number of students who do not drink tea or coffee

Answer 1

YOUR ANSWER
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TOTAL STUDENTS ------- 500
DRINK COFFEE ------- 130
DRINK TEA ----------- 275
DRINK BOTH -------- 260

THEREFORE,
NO. OF STUDENTS WHO DRINK ONLY TEA ------- 275 - 260 = 15

NO. OF STUDENTS WHO DRINK ONLY COFFEE --------- 260 - 130 = 130

>>>>>>>>>>>>>>>>>>>>>>>>>>
TOTAL NO. OF STUDENTS WHO DRINK EITHER TEA OR COFFEE OR BOTH =
130 + 15 + 260 = 405

THEREFORE, NO. OF STUDENTS WHO NEITHER DRINK COFFEE NOR TEA =
500 - 405
= 95
>>>>>>>>>>>>>>>>>>>>>>>>>>>>

ANSWER = 95 STUDENTS

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HOPE IT HELPS :):):):):):):):):):):):):)

Answer 2

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Given,

Total number of students = 500

Number of students who were drinking Tea = n(T) = 150

Number of students who were drinking Coffee = n(C) = 225

Number of students who were drinking both Tea and Coffee = n(T ∩ C) = 100

n(T U C) = n(T) + n(C) – n(T ∩ C)

= 150 + 225 -100

= 375 – 100

= 275

Hence, the number of students who are drinking neither Tea nor Coffee = 500 – 275 = 225

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Hope It's Helpful.....:)