Question

If 96 people attended a concert and tickets for adults cost $3.25 while tickets for children cost $1.75 and the total receipts for the concert were $355.5, how many of each went to the concert?

A. Adults: 72, Children: 24

B. Adults: 60, Children: 36

C. Adults: 48, Children: 48

D. Adults: 36, Children: 60

Answer 1

To find the number of adult and child concert attendees, we set up a system of equations based on the total number of people and the total revenue. By solving the equations, we find that the correct answer is 60 adults and 36 children who attended the concert.

Step-by-step explanation:

The question asks us to determine how many adults and children attended a concert given the total number of attendees, the cost of adult and child tickets, and the total revenue from ticket sales. We can set up a system of equations to represent the total number of people and the total revenue. Let A represent the number of adult tickets sold and C the number of child tickets sold. We can use the following equations:

1. A + C = 96 (the total number of people)

2. 3.25A + 1.75C = 355.5 (the total revenue from ticket sales)

By solving this system of equations, we will find the correct number of adult and child attendees. When we solve the equations, we see that the correct answer is B. Adults: 60, Children: 36