Lena is organizing a fundraising event for her school. She is selling two types of tickets: regular tickets and VIP tickets.

Question

Regular Tickets cost $12 each, and Lena sells 45 of them.
VIP Tickets costs $25 each, and Lena sells 30 of them.
After the event, Lena has to pay $300 for the venue rental, and she also owes $50 to a local band for their performance.

Answer 1

To determine how much Lena makes from the fundraising event and her profit after expenses, we can follow these steps:

1. Calculate total revenue from ticket sales:

   • Regular Tickets: \[ \text{Revenue from Regular Tickets} = \text{Price of Regular Ticket} \times \text{Number of Regular Tickets} = 12 \times 45 = 540 \]

   • VIP Tickets: \[ \text{Revenue from VIP Tickets} = \text{Price of VIP Ticket} \times \text{Number of VIP Tickets} = 25 \times 30 = 750 \]

   • Total Revenue: \[ \text{Total Revenue} = \text{Revenue from Regular Tickets} + \text{Revenue from VIP Tickets} = 540 + 750 = 1290 \]

2. Calculate total expenses:

   • Venue Rental Cost: $300
   • Band Payment: $50
   • Total Expenses: \[ \text{Total Expenses} = \text{Venue Rental} + \text{Band Payment} = 300 + 50 = 350 \]

3. Calculate profit:

   • Profit: \[ \text{Profit} = \text{Total Revenue} - \text{Total Expenses} = 1290 - 350 = 940 \]

In summary, Lena's total revenue from the ticket sales is $1290, her total expenses are $350, and her profit from the event is $940.