Question

Marc sold 516 tickets for the school play. Student tickets cost $3 and adult tickets cost $5. Marc's sales totaled $2046. How many adult tickets and how many student tickets did Marc sell?

Select one:
a. 272 adult, 244 student
b. 249 adult, 267 student
c. 267 adult, 249 student
d. 244 adult, 272 student

Answer 1

let student tickets are x and adult tickets are y

x + y = 516.........x = 516 - y .........(substitute in 2)

3x + 5y = 2046 ......(2)

3(516-y) + 5y = 2046

1548 - 3y + 5y = 2046

2y = 498

y = 249

x = 516 - y = 516 - 249 = 267

so the correct answer is b