Question

You are selling tickets to your school musical. Student tickets cost $2 and general admission tickets are $3. You sell 17 tickets and collect $42 how many of each type of ticket did you sell?

Answer 1

Let the student tickerts and general tickets be x and y respectively

• x+y=17=>x=17-y
• 2x+3y=42--(2)

From (1) put in (2)

• 2(17-y)+3y=42
• 34+y=42
• y=8

And

• x=17-8=9

Answer 2

• 9 student tickets and 8 general admission tickets

Explanation:

Let the number of student tickets is s and general admission tickets - g.

Set equations and solve:

• s + g = 17
• 2s + 3g = 42

Double the first equation and subtract from the second to eliminate s:

• 2s + 3g - 2s - 2g = 42 - 2*17
• g = 8

Find s:

• s = 17 - 8 = 9