Mini-survey

In the mini-survey of our class about the popularity of individual subjects, it turned out that 11.1% of pupils like mathematics, 18.5% are enjoying languages, 30.4% of pupils like physical education, and the remaining 12 pupils have several popular subjects. How many students are visiting our class?

Correct result:

n =  30

Solution:

 0.111n+0.185n+0.304n+12=n  0.111 n+0.185 n+0.304 n+12=n  0.4n=12  n=30 \ \\ 0.111n + 0.185n + 0.304n + 12=n \ \\ \ \\ 0.111 \cdot \ n + 0.185 \cdot \ n + 0.304 \cdot \ n + 12=n \ \\ \ \\ 0.4n=12 \ \\ \ \\ n=30



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