Question

Alexander was putting on a theatre show to debut his play. He is charging $2 for child tickets and $5 for adult tickets. His theatre has 50 seats and he made $193 at his debut. Write and solve a system of equations for the number of children tickets and adult tickets sold. Identify your variables and use complete sentences when giving your solution.

Answer 1

19 children tickets and 31 adults ticket were sold

2x+5y = 193

Explanation:

sold 19 tickets for children $2 = 19×2 = $38

sold 31 tickets for adult $5 = 31×5 = $155

Total debut = $38 + $155 = $193

Total Seats = 19 (children)+ 31 adults) = 50 seats

2x+ 5y = 193 where x denotes children tickets and y denotes adult tickets

2(19)+5(31) =193

(2×19) + (5×31) = 38 + 155 = 193

`(2×19) + (5×31) = 38 + 155 = 193`