Sold Out! The Math Behind Harry Styles’ Concert Revenue

Harry Styles’ world tour is the talk of the town, with fans eagerly snapping up tickets to his sold-out concerts. The organizers have created multiple ticket categories: standard, premium, and VIP, each with different pricing and demand. To encourage early purchases, they offered a discount on certain categories, leading to a mix of pricing that had fans doing the math.

Word Problem

For a concert, Harry Styles’ organizers sold 300 tickets divided among standard, premium, and VIP categories in the ratio of 5:3:2. The price for a standard ticket was \$80, a premium ticket \$120, and a VIP ticket \$200. Early buyers received a 20% discount on 40% of the standard tickets, a 25% discount on half the premium tickets, and no discount on VIP tickets.

Question: What was the total revenue generated from the sale of all tickets?

Options:
A. $31,200
B. $32,490
C. $33,600
D. $34,200

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