Problema Solution

university theater sold 506 tickets for a play. tickets cost $21 per adult and $12 per senior citizen. if the total receipts were $7359, how many senior citizen tickets were sold?

Answer provided by our tutors

Total number of tickets, t = 506

Number of adult tickets sold = a

Number of senior tickets sold = s

Total receipt, r = 7359

(a*12 + s*21) = 7359

12s + 21a = 7359 ------------1

a + s =506----------------2

Multiplying equation 2 by 21 and subtrating equation 1 from 2, we get

 

9a = 10626 - 7359

a = 363