Question

In a survey of 600 students in a school, 150 students were found to be drinking Tea and 225 drinking Coffee, 100 were drinking both Tea and Coffee. Find how many students were drinking neither Tea nor Coffee.​

Answer 1

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$\Large\fbox{\color{purple}{QUESTION}}$

In a survey of 600 students in a school, 150 students were found to be drinking Tea and 225 drinking Coffee, 100 were drinking both Tea and Coffee.

Find how many students were drinking neither Tea nor Coffee.

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➡️Given,

➡️Total number of students = 600

➡️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 = 600 – 275 = 325

$\Large\mathcal\green{FOLLOW \: ME}$

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Answer 2

Answer:

➡️Given,

➡️Total number of students = 600

➡️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 = 600 – 275 = 325.✔

Step-by-step explanation:

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