Question

The student council at

Lonestar High School is selling tickets to prom. They are selling senior tickets for $20 and junior tickets for $30. So far they have sold 426 tickets and have made $10,390. Write a system of equations that represents this scenario and choose the best method for solving based on how the equations are set up.
HELP!!!

Answer 1

The system of equations for this scenario can be written as:

Senior Tickets: 20x + 30y = 10,390
Junior Tickets: x + y = 426

The best method for solving this system of equations would be substitution, as both equations are linear.

Answer 2

number of senior tickets = 239

number of junior tickets = 187

Explanation:

let 's' = number of senior tickets

let 'j' = number of junior tickets

20s + 30j = 10390

s + j = 426

we could use the substitution method to solve the system by making

s = 426-j

we can substitute '426-j' in for 's' in the first equation to get:

20(426-j) + 30j = 10390

8520 - 20j + 30j = 10390

8520 + 10j = 10390

10j = 1870

j = 187

s + 187 = 426

s = 239