Question

The 9th graders are selling tickets to raise money for a class field trip. They are selling student tickets for $5 and adult tickets for $9. The 9th graders received a total of $240 from sales. In total, 40 tickets were sold. Write a system to represent this situation. Be sure to define your variables. Use your system to determine how many tickets of each type the students sold.

Answer 1

30 student tickets and 10 Adult tickets

Explanation:

X is the number of adult tickets and Y is the number of student tickets

X + Y = 40

5Y + 9X = 240

Get y on one side of each equation

5Y = 240 - 9X

Y = 40 - X

substitute y for 40 - x

5( 40 - x) = 240 - 9x

solve for x

200 - 5X = 240 - 9X

4x = 40

x = 10

now you plug x in the first equation and then solve for y

10 + Y = 40

Y = 30