Question

Suppose that there are two types of tickets to a show: advance and same-day. The combined cost of one advance ticket and onesame-day ticket is $70. For one performance, 40 advance tickets and 30 same-day tickets were sold. The total amount paid for thetickets was $2400. What was the price of each kind of ticket?Х5?Advance ticket: slSame-day ticket: s1

Answer 1

Given -

The combined cost of one advance ticket and one same-day ticket = $70

40 advance tickets and 30 same-day tickets were sold and the totaliamo nt for th etickets was = $2400

To Find -

The price of each kind of ticket =?

Step-by-Step Explanation -

Let the cost of an advanced ticket = A

and a same-day ticket = S

Now, According to the question,

A + S = $70 .......(1)

Also,

40A + 30S = $2400

30(A+S) + 10A = $2400

Now, Putting the value from 1 in above =

30(70) + 10A = 2400

10A = 2400 - 2100

10A = 300

A = 30

So,

S = 70 - 30 = 40

Final Answer -

Advance ticket = $30

Same-day ticket = $40