10,483 people attended a rock festival. If there were 811 more boys than girls, and 2,481 fewer adults over 50 years of age than there were girls, how many of each group attended the festival?

Given =

total people attented a rock festival = 10483

number of boys more than girls in the rock festival = 811

fewer adult over 50 year of age = 2481

find out the each group attented the festival

To proof =

let us assume that the number of the girls be x.

let us assume that the number of the boys be y.

let us assume that the number of the adults be z.

thus we have equation

x + y + z = 10483

number of boys (y) = x + 811

number of adults (z) = x - 2481

put these all value inthe equation x + y + z = 10483

we get

x + x + 811 + x - 2481 = 10483

3x - 1670 = 10483

3x = 12153

x = 4051

the number of girls are 4051

the number of boys = 4051 + 811

i. ethe number of boys are 4862

the number of adults = 4051 - 2481

i. e number of adults are 1570.

Hence proved