Question

75 students in a class like tea or coffee or both. Out of them 10 like both the drinks. the ratio of the number of students who like tea to those who like coffee is 2:3.and
find the number of students who like tea and
find the number of students who like coffee only.

Answer 1

Let the total number of students in the class = x. , accordingly :-

Number of students like tea but not coffee = 10% of x = x/10.

Number of students like coffee but not milk= 20% of x = x/5.

Number of students like milk but not tea = 30% of x = 3x/10.

Number of students like all the 3 drinks = 12.

Number of students like none of the drinks= 0 , therefore:-

( x/10)+(x/5)+(3x/10)+12+0= x.

or, (3x/5) +12 = x.

or, x - (3x/5) = 12.

or, 2x/5=12

or, x = 12×(5/2) = 30 . Answer.

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