Question

there are few adults and children in a restaurant. if 3/8 of the people in the restaurant are adults and there are 90 more children than adults, then how many children are there in the restaurant ?

Answer 1

Let the total number of people present in the restaurant = x

As given, number of adults = $\frac{3}{8}$ * x

Therefore, number of children = $\frac{3}{8}$ * x + 90 (given)

Now, Number of Adults+ Number of Children = x

⇒ $\frac{3}{8}$ * x + $\frac{3}{8}$ * x + 90 = x

⇒ $\frac{3x+ 3x + 720}{8}$ = x

⇒ 6x + 720= 8x

⇒ 720= 8x-6x

⇒ 720= 2x

⇒x= $\frac{720}{2}$

x= 360

Hence total people in the restaurant = 360

Number of adults= $\frac{3}{8}$ x = $\frac{3}{8}$ * 360

= 135

Therefore number of children = Number of adults + 90

= 135+90

=225