036501
contestada

at a school fair 70% of people are under 16 years old. one third of the people remaining are teachers.if there are 21 teachers at the fair total?

Respuesta :

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