107k views
5 votes
You are selling tickets for a high school play. Student

tickets cost $4 and general admission tickets cost $6.

You sell 31 tickets and collect $170. How many of each

type did you sell?

User Avik
by
7.0k points

1 Answer

5 votes

Answer:

sold 23 Tickets and 8 General Admission Tickets

Explanation:

y = General Admission tickets

x = tickets

4x + 6y = 170

x + y = 31

Use the Substitution method:

4x + 6(31 - x) = 170

4x + 186 - 6x = 170

4x - 6x = -16

-2x = -16

x = 8

y = 31 - 8 = 23

User Matthias Schobner
by
6.5k points