200 tickets were sold for a show. VIP tickets costs ₦1,200 and ₦700 for regular. Total amount realised from the sale of the tickets was ₦180,000. Find the number of VIP tickets sold and the the number of regular ticket sold.
A. VIP = 80, Regular = 100 B. VIP = 60, Regular = 120 C. VIP = 60, Regular = 100 D. VIP = 80, Regular = 120
Correct Answer: D
Explanation
Let = number of VIP tickets sold and
= number of regular tickets sold
Total number of tickets sold = 200
⇒ + = 200 ---- (i)
If it costs ₦1,200 for a VIP ticket, then it costs ₦1200x for number of VIP tickets sold and
If it costs ₦700 for a regular ticket, then it costs ₦700 for number of VIP tickets sold
The total amount realised from the sale of tickets = ₦180,000
⇒ 1200 + 700 = 180000 ----- (ii)
From equation (i)
= 200 - ----- (iii)
Substitute (200 - ) for in equation (ii)
⇒ 1200(200 - ) + 700 = 180000
⇒ 240000 - 1200 + 700 = 180000
⇒ 240000 - 500 = 180000
Collect like terms
⇒ 240000 - 180000 = 500
⇒ 60000 = 500
⇒
Substitute 120 for in equation (iii)
⇒
⇒
∴ The total number of VIP tickets sold is 80 and regular is 120