Question

Anna is in charge of the alumni fundraiser for her alma mater. She is selling pre-sale tickets for $10 and at-the-door tickets for $20. The venue has the capacity to hold 400 people. The graph represents the number of tickets Anna needs to sell to offset her upfront costs and raise $5,000 for her school:

Graph with x axis labeled pre sale tickets and y axis labeled at the door tickets. There are two lines intersecting at three hundred comma one hundred.

How many at-the-door tickets must she sell to make her goal?

400
300
250
100

Answer 1

Answer: From the graph, we can see that the point where the two lines intersect is (300, 100). This means that Anna needs to sell 300 pre-sale tickets and 100 at-the-door tickets to reach her goal of raising $5,000.

Since each pre-sale ticket costs $10 and each at-the-door ticket costs $20, the total revenue from pre-sale tickets would be:

300 pre-sale tickets × $10/ticket = $3,000

To reach her goal of $5,000, Anna would need to earn an additional:

$5,000 - $3,000 = $2,000

To earn $2,000 from at-the-door tickets, she would need to sell:

$2,000 ÷ $20/ticket = 100 at-the-door tickets

Therefore, Anna would need to sell 100 at-the-door tickets to make her goal.

Explanation: