Answer:
let number of people at the fair be x.
As per the statement:
70% of people are under 16 years old
⇒[tex]x \times 70 \% = x \times \frac{70}{100} = \frac{70x}{100} =\frac{7x}{10}[/tex]
Remaining number = [tex]x - \frac{7x}{10} = \frac{10x-7x}{10} = \frac{3x}{10}[/tex]
Since, one third of the people remaining are teachers
⇒Number of teachers at fair = [tex]\frac{1}{3} \times \frac{3x}{10} = \frac{x}{10}[/tex]
Also, it is given that the number of teachers at the fair are 21.
hence, [tex]\frac{x}{10} = 21[/tex]
Multiply both sides by 10 we get;
x = 210
Therefore, total number of people at fair are. 210 people