200 tickets were sold for a show. VIP tickets costs ₦1,...
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.
VIP = 80, Regular = 100
VIP = 60, Regular = 120
VIP = 60, Regular = 100
VIP = 80, Regular = 120
Correct answer is D
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
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