Answer:
67
Step-by-step explanation:
Let us assume that Anna sells x number of pre-sale tickets and y number of at-the-door tickets.
Since, total capacity of the venue is 400, so we can write x + y = 400 ...... (1)
Now, given that each pre-sale ticket costs $10 and each at-the-door ticket costs $25, and total funds she needs to raise is $5000
So,we can write 10x + 25y = 5000, ⇒ x + 2.5y = 500 .... (2)
Now, solving equations (1) and (2) we get,
(2.5 - 1)y = 500 - 400 = 100
⇒ 1.5y = 100
⇒ y = 66.67
Hence, from equation (1) we get, x = 400 - 66.67 = 333.33
Since, y can not be a fraction and it can not be < 66.67 {Otherwise the goal of $5000 can not be achieved}
So, the minimum number of at-the-door ticket she needs to sell to make her goal is 67. (Answer)
