The number of students who take both the subjects Mathematics and Chemistry is 70. This represents 10% of the enrollment in Mathematics and 14% of the enrollment in Chemistry. The number of students take at least one of these two subjects, is
Answers
Given : The number of students who take both the subjects Mathematics and Chemistry is 70
This represents 10% of the enrollment in Mathematics and 14% of the enrollment in Chemistry.
To Find : The number of students take at least one of these two subjects, is
Solution:
Enrolment in Mathematics = M
10% of M = (10/100)M = 0.1M
0.1M = 70
=> M = 700
Enrolment in Chemistry = C
14% of C = (14/100)C = 7C/50
7C/50 = 70
=> C =500
M = 700
C = 500
M ∩ C = 70
number of students take at least one of these two subjects,
= M + C - M ∩ C
= 700 + 500 - 70
= 1130
1130 students take at least one of these two subjects
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