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.

19 children tickets and 31 adults ticket were sold

2x+5y = 193

Step-by-step 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

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