Question

Regular tickets to a concert cost $25 each, and VIP tickets cost $45 each. The concert hall sold a total of 270 tickets and made $7,650 on ticket sales.

The number of VIP tickets sold was_________, and the number of regular tickets sold was__________ and the number​

Answer 1

Solution below.

Explanation:

This question involves the concept of solving simultaneous equations.

Let R be the number of regular tickets.

Let V be the number of VIP tickets.

Given information from the question, we can deduce that:

R + V = 270 (Equation 1)

25R + 45V = 7,650 (Equation 2)

We can rewrite Equation 1 as:

R = 270 - V (Equation 1A)

Now we can use the Substitution Method to solve for R and V.

Substitute Equation 1A into Equation 2:

25(270 - V) + 45V = 7,650

6,750 - 25V + 45V = 7,650

20V = 7,650 - 6,750

V = 900 ÷ 20 = 45 tickets

Now lets substitute V into Equation 1 to find R.

R + 45 = 270

R = 270 - 45 = 225 tickets

Therefore there were 45 VIP Tickets and 225 Regular Tickets sold.