Question

The gross receipts from the sale of t tickets, at $17 per ticket, total $16,660.
Column A: \(t\)
Column B: 1,000

• A. The quantity in Column A is greater.
• B. The quantity in Column B is greater.
• C. The two quantities are equal.
• D. The relationship cannot be determined from the information given.

Hint:

When faced with a large division, you can estimate first. Since \(17 \times 1000 = 17,000\), and $16,660 is slightly less than $17,000, you can quickly deduce that \(t\) must be slightly less than 1,000. This is often sufficient for quantitative comparison questions.

Answer 1

The Correct Option is B

Step 1: Understanding the Concept:
This problem requires us to calculate the number of tickets sold (\(t\)) based on the total revenue and the price per ticket. Then, we must compare this value of \(t\) with the quantity in Column B.
Step 2: Key Formula or Approach:
The relationship between total receipts, price per ticket, and number of tickets is:
Total Receipts = Price per Ticket \(\times\) Number of Tickets (\(t\)).
We need to solve for \(t\).
Step 3: Detailed Explanation:
We are
Total Receipts = $16,660
Price per Ticket = $17
The equation is:
\[ 17 \times t = 16,660 \]
To find \(t\), we divide the total receipts by the price per ticket:
\[ t = \frac{16,660}{17} \]
We can perform the division:
\[ 16,660 \div 17 = 980 \]
So, the quantity in Column A is \(t = 980\).
The quantity in Column B is 1,000.
Step 4: Final Answer:
Comparing the two quantities, we have \(980<1,000\). Therefore, the quantity in Column B is greater.