If $ 50 \% $ of students in a class like dancing, $ 20 \% $ like singing and the remaining like drawing, then what percent of the students like drawing? Also, if the total numbers of students are 500, find the exact number of students liking dancing, singing and drawing.

Given:

\( 50 \% \) of students in a class like dancing, \( 20 \% \) like singing and the remaining like drawing.

The total numbers of students $=500$ To do:

We have to find the percent of the students who like drawing and the exact number of students who like dancing, singing and drawing.Solution: Let the total number of students in the class be $x$.

The percent of students who like drawing $= 100 \%-$ (Percent of students who like dancing $+$ Percent of students who like singing)

$=[100-(50+20)] \%$

$=(100-70) \%$

$=30 \%$

Number of students who like dancing $=50 \%$ of total number of students

$=\frac{50}{100}\times500$

$=50\times5$

$=250$

Number of students who like singing $=20 \%$ of total number of students

$=\frac{20}{100}\times500$

$=20\times5$

$=100$

Number of students who like drawing $=30 \%$ of total number of students

$=\frac{30}{100}\times500$

$=30\times5$

$=150$.

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