Walkabout wrote:

What was the total amount of revenue that a theater received from the sale of 400 tickets, some of which were sold at x percent of full price and the rest of which were sold at full price?

(1) x = 50

(2) Full-price tickets sold for $20 each.

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:

x = 50

Without knowing how many tickets are sold at discount, we can’t determine the total revenue. Statement one alone is not sufficient to answer the question.

Statement Two Alone:

The full-price ticket was $20.

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.

Statements One and Two Together:

From statements one and two, we know that the discounted tickets are sold at $10 each. However, without knowing the number of discounted tickets, we cannot determine the total revenue.

Answer: E

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