Question

washington middle school sold 405 tickets to the annual musical production for friday night. if the tickets sold for friday night were only 45 percent of the total tickets sold, how many total tickets were sold for the production?
○ 450
○ 590
○ 810
○ 900

Explanation:

Step1: Define the variable

Let \( x \) be the total number of tickets sold.

Step2: Set up the equation

We know that 45% of \( x \) is 405, so we can write the equation \( 0.45x = 405 \).

Step3: Solve for \( x \)

To solve for \( x \), we divide both sides of the equation by 0.45: \( x=\frac{405}{0.45} \).
Calculating \( \frac{405}{0.45} = 900 \).

Answer:

900 (the option with 900)