## What was the revenue that a theater…

## Solution:

We need to determine the revenue from the sale of 400 tickets. Some of the tickets were sold at the full price and the remainder of the tickets were sold at a reduced price. We can let f = the number tickets sold at full price and r = the number of tickets sold at the reduced price.

**Statement One Alone: **

The number of tickets sold at full price was ¼ of the total number of tickets sold.

From the given stem information we know that f + r = 400 and from statement one we know that f = ¼(400) = 100. Thus, 400 – 100 = 300 tickets were sold at the reduced price. However, we still do not know the cost of either a reduced-price ticket or a full-price ticket. Statement one alone is not sufficient to answer the question. We can eliminate answer choices A and D.

**Statement Two Alone: **

The full-price ticket was $25.

Knowing only the price for a full-price ticket is not enough information to determine the total revenue of all tickets sold. Statement two alone is not sufficient to answer the question. We can eliminate answer choice B.

**Statements One and Two Together: **

From statements one and two we know that 100 full-price tickets were sold for $25 each and that 300 reduced-price tickets were sold. However, without knowing the price of a reduced-price ticket, we cannot determine the total revenue.

**Answer: E**