Question

A school sold 461 tickets for the school play. Student tickets cost $3 and adult tickets cost $4. Ticket sales totaled $1624.

Part A. Write and solve a system of equations to model this situation.

Part B. Then explain the meaning of your solution.

Answer 1

Below

Explanation:

a + s = 461 or s = 461 -a

Value of student tickets sold = s * 3 = 3 * (461-a)

Value of adult tix sold = 4 a Summed they total 1624

System of equations :

s = 461-a

3 (461-a) + 4a = 1624

1383 -3a +4a = 1624

a = 241 then s = 461 -a = 220 tix