Question

A music festival sold two types of tickets, day passes and weekend passes. The day passes were $61, and the weekend pass was $110. The total ticket sales for the festival were $307,745. They sold 257 more day passes than weekend passes. How many day passes and how many weekend passes were sold?

Answer 1

• day passes: 1965
• weekend passes: 1708

Explanation:

You want the number of day passes sold for $61 and weekend passes sold for $110 if 257 more day passes were sold, and sales totaled $307745.

Setup

Let w represent the number of weekend passes sold. Then w+257 is the number of day passes sold. The total revenue is ...

61(w+257) +110(w) = 307745

Solution

Simplifying the equation, we have ...

171w +15677 = 307745

171w = 292068 . . . . . . . . subtract 15677

w = 1708 . . . . . . . . . . . divide by 171

w+257 = 1965 . . . day passes sold

1965 day passes and 1708 weekend passes were sold.

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