Question

If 96 people attend a concert and tickets for adults cost $3.75 while tickets for children cost $3.50 and total receipts for the concert was $350.50, how many of each went to the concert?

Answer 1

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)

$3.75 y-3.50y= 360-350.50\\\\\Rightarrow\ 0.25y= 9.5\\\\\Rightarrow\ y=\dfrac{9.5}{0.25}\\\\\Rightarrow\ y= 38$

put this in (i) ,  x+38 = 96

x= 96-38 = 58

So, 58 adults and 38 children went to the concert.