JAMB Mathematics 2023 Paper

Concept:Use simultaneous equations from the total number of tickets and the total revenue collected.Explanation:Let $x$ be the number of VIP tickets sold.Let $y$ be the number of regular tickets sold.Since $200$ tickets were sold in total:$$x + y = 200 \quad \text{(i)}$$The revenue is ₦1,200 per VIP ticket and ₦700 per regular ticket, giving:$$1200x + 700y = 180000 \quad \text{(ii)}$$From equation (i):$$x = 200 - y \quad \text{(iii)}$$Substitute (iii) into (ii):$$1200(200 - y) + 700y = 180000$$$$240000 - 1200y + 700y = 180000$$$$240000 - 500y = 180000$$$$240000 - 180000 = 500y$$$$60000 = 500y$$$$y = \frac{60000}{500} = 120$$Substitute $y = 120$ into (iii):$$x = 200 - 120 = 80$$So, the number of VIP tickets sold is $80$, and the number of regular tickets sold is $120$.Answer:VIP = 80, Regular = 120.