​ At a cricket test match 2/7 of the spectators were in a covered place while 15000 were in open. Find the total number of spectators. ​

Question

At a cricket test match \(\frac{2}{7}\) of the spectators were in a covered place while 15000 were in open. Find the total number of spectators.

Answer 1

Fraction of spectators covered \(=\frac{2}{7}\)

Fraction left \(=1-\frac{2}{7}=\frac{7-2}{7}=\frac{5}{7}\)

Number of spectators in open = 15000 

According to the question, 

Number of spectators in open = Total number of spectators x \(\frac{5}{7}\)

\(\Rightarrow\) \(15000 =\frac{5}{7}\times\) Total number of spectaors

\(\Rightarrow\) Total number of spectators \(=15000\div\frac{5}{7}\)

\(\Rightarrow\) Total number of spectators \(=15000\times\frac{7}{5}\)

\(\Rightarrow\) Total number of spectators \(=21000\)