Question

a group of friends were working on a student film. they spent $504 on props, which was 42% of their total budget. what was the total budget for their student film?

Explanation:

Step1: Define the variable

Let \( x \) be the total budget. We know that 42% of \( x \) is equal to $504. Mathematically, this can be written as \( 0.42x = 504 \) (since 42% is equivalent to 0.42 in decimal form).

Step2: Solve for \( x \)

To find \( x \), we divide both sides of the equation by 0.42. So, \( x=\frac{504}{0.42} \).

Calculating the right - hand side: \( \frac{504}{0.42}=\frac{504\times100}{0.42\times100}=\frac{50400}{42} = 1200 \).

Answer:

The total budget for their student film is $1200.