Question 1203890
If 68 people attend a concert and tickets for adults cost $3.75 while tickets for children cost $2 and total receipts for the concert was $195.5, how many of each went to the concert?

68 people attend a concert

 let x adults attend the concert . tickets for adults cost $3.75

 Let y children attend the concert . Tickets for children cost $2 

Number attended equation

x+y=68...........................................(1)

Receipts equation 

3.75x + 2y = 195.5.............................(2)

Multiply (1) by 2 and subtract (2)

2x+2y = 136
3.75x +2y= 195.5    ( From (2))

-1.75x = -59.5

x = -59.5/-1.75

x=34

y =68-34 = 34 

 34 adults and 34 children  attended the concert.