Let x = number of VIP tickets sold and y = number of regular tickets sold Total number of tickets sold = 200 ⇒ x + y = 200 ---- (i) If it costs ₦1,200 for a VIP ticket, then it costs ₦1200x for x number of VIP tickets sold and If it costs ₦700 for a regular ticket, then it costs ₦700y for y number of VIP tickets sold The total amount realised from the sale of tickets = ₦180,000 ⇒ 1200x + 700y = 180000 ----- (ii) From equation (i) x = 200 - y ----- (iii) Substitute (200 - y) for x in equation (ii) ⇒ 1200(200 - y) + 700y = 180000 ⇒ 240000 - 1200y + 700y = 180000 ⇒ 240000 - 500y = 180000
Collect like terms ⇒ 240000 - 180000 = 500y ⇒ 60000 = 500y
⇒ y=60000500=120
Substitute 120 for y in equation (iii) ⇒ x=200−120 ⇒ x=80 ∴ The total number of VIP tickets sold is 80 and regular is 120
