200 tickets were sold for a show. VIP tickets costs N1,200 and N700 for regular.

Explanation

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 N1,200 for a VIP ticket, then it costs N1200x for \(x\) number of VIP tickets sold and

If it costs N700 for a regular ticket, then it costs N700\(y\) for \(y\) number of VIP tickets sold

The total amount realised from the sale of tickets = N180,000

⇒ 1200\(x\) + 700\(y\) = 180000 ----- (ii)

From equation (i)

\(x\) = 200 - \(y\) ----- (iii)

Substitute (200 - \(y\)) for \(x\) in equation (ii)

⇒ 1200(200 - \(y\)) + 700\(y\) = 180000

⇒ 240000 - 1200\(y\) + 700\(y\) = 180000

⇒ 240000 - 500\(y\) = 180000

Collect like terms

⇒ 240000 - 180000 = 500\(y\)

⇒ 60000 = 500\(y\)

⇒ \(y = \frac{60000}{500} = 120\)

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