Question

Tickets for a concert cost eight dollars for the main floor and six dollars for the balcony If 1125 tickets were sold and the tickets sales total 8050 how many tickets of each kind were sold

Answer 1

650 tickets for the main floor and 475 tickets for the balcony were sold.

Explanation:

From the information given, you can write the following equations:

x+y=1125 (1)

8x+6y=8050 (2), where:

x is the number of tickets for the main floor

y is the number of tickets for the balcony

First, you can solve for x in (1):

x=1125-y (3)

Second, you can replace (3) in (2):

8(1125-y)+6y=8050

9000-8y+6y=8050

9000-2y=8050

9000-8050=2y

950=2y

y=950/2

y=475

Third, you can replace the value of y in (3) to find x:

x=1125-y

x=1125-475

x=650

According to this, the answer is that 650 tickets for the main floor and 475 tickets for the balcony were sold.