Question

4. The band at Jason's high school had a concert for charity. They raised $15000. Adult tickets were $5 each and student tickets were $3 each. The members of the band sold a total of 4000 tickets. Which of the following systems of equations can be used to determine how many adult, x, and student tickets, y. they sold? A. x + y = 4000 5x + 3y = 15000 C. x - y = 4000 5x - 3y = 15000 B. x + y = 15000 5x + 3y = 4000 D. 5x + 3y = 4000 3x + 5y = 15000 03 PO P MINE W 1 NY 19 C​

Answer 1

A. x + y = 4000

5x + 3y = 15000

Explanation:

Total amount raised = $15000

cost of adult tickets = $5

cost of student tickets = $3

Total number of tickets sold = 4000

number of adult tickets sold = x

number of student tickets sold = y

Then we can say,

total number of ticket sold = number of adult tickets + number of student tickets

4000 = x + y

⇒ x + y = 4000 ............. 1

Also,

5x + 3y - 15000 ............. 2

the equations required are:

x + y = 4000

5x + 3y - 15000