Question

10483 people attended a rock festival. if there were 811 more boys than girls, and 2481 fewer adults over 50 years of age than there were girls, how many of each age group attended the festival?

Answer 1

Answer: 4051 girls, 4862 boys and 1570 adults over 50 years of age group attended the festival.

Step-by-step explanation:

Let x denotes the number of girls.

Then, the number of boys = x+811

The number of adults over 50 years of age = x-2481

Now, by considering the given scenario :-

$x+x+811+x-2481=10483\\\\\Rightarrow\ 3x-1670=10483\\\\\Rightarrow\ 3x=10483+1670\\\\\Rightarrow\ 3x=12153\\\\\Rightarrow\ x=\dfrac{12153}{3}=4051$

Thus, the number of girls attended the festival = 4051,

Then number of boys = 4051+811=4862

Number of adults = 4051-2481=1570