1. Tardigrade
  2. Question
  3. Mathematics
  4. The number of students who take both the subjects mathematics and chemistry is 30. This represents 10% of the enrolment in mathematics and 12% of the enrolment in chemistry. How many students take at least one of these two subjects ?

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. The number of students who take both the subjects mathematics and chemistry is 30. This represents 10% of the enrolment in mathematics and 12% of the enrolment in chemistry. How many students take at least one of these two subjects ?

Sets

Solution:

Let $x$ be the number of students who take mathematics and $y$ be the number of students who take chemistry.
image
$30=\frac{10}{100}\left(x+30\right)$
$ \Rightarrow x=270$
Similarly, $30 = \frac{12}{100}\left(y+30\right)$
$\Rightarrow y= 220$
Number of students who take atleast one of these two subjects
$= 270 + 220 + 30 = 520 $