Question

Regular tickets to a concert cost $34.50, and VIP tickets cost $78.50. A total of 810 tickets were sold, and total ticket sales were $29,045. The equation 34.50r+78.50(810−r)=29,045 can be used to determine the number of regular tickets r sold to the concert. How many of each type of ticket were sold?

Answer 1

You use the equation they gave you to figure the regular and then subtract that number from the total to get the vip.

Answer 2

There were 785 regular tickets that were sold and 25 VIP tickets.

Regular tickets = $34.50

VIP tickets = $78.50

Number of tickets sold = 810 tickets

The equation given is:

34.50r+78.50(810−r)=29,045

34.50r + 63585 - 78.50r = 29045

Collect like terms

34.50r - 78.50r = 29045 - 63585

-44r = 34540

r = 34540/44

r = 785

There were 785 regular tickets sold

VIP tickets sold will be:

= 810 - 785 = 25 tickets.

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