Marc sold 516 tickets for the school play. Student tickets cost $3 and adult tickets cost $5. Marc's sales totaled $2046. How ma

Question

4 years ago

6

Marc sold 516 tickets for the school play. Student tickets cost $3 and adult tickets cost $5. Marc's sales totaled $2046. How ma

ny 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

Mathematics

1 answer:

mrs_skeptik [129] · Answer 1 · 2021-12-20T12:39:03+03:00

mrs_skeptik [129]4 years ago

8 0

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