Answer: 58 adults and 38 children went to the concert.
Step-by-step explanation:
Let x= adults , y= children
As per given ,
x+y = 96 (i)
3.75x+3.50y = 350.50 (ii)
Multiply 3.75 to (i) , we get
3.75 x + 3.75y = 360 (iii)
Eliminate (ii) from (iii)
[tex]3.75 y-3.50y= 360-350.50\\\\\Rightarrow\ 0.25y= 9.5\\\\\Rightarrow\ y=\dfrac{9.5}{0.25}\\\\\Rightarrow\ y= 38[/tex]
put this in (i) , x+38 = 96
x= 96-38 = 58
So, 58 adults and 38 children went to the concert.
