A group of friends were working on a student film. They spent all their budget on equipment and props. They spent $369 on equipment, and 55% of the total budget on props. What was the total budget for their student film?

Answer 1

Let the total budget be denoted as \( B \).

According to the problem, the friends spent 55% of their total budget on props. This can be expressed mathematically as:

\[ \text{Amount spent on props} = 0.55B \]

They also spent $369 on equipment, so the total amount spent on both equipment and props is:

\[ \text{Total amount spent} = 369 + 0.55B \]

Since the total amount spent cannot exceed the total budget, we set up the equation:

\[ 369 + 0.55B = B \]

To isolate \( B \), we can subtract \( 0.55B \) from both sides:

\[ 369 = B - 0.55B \]

This simplifies to:

\[ 369 = 0.45B \]

Next, we solve for \( B \) by dividing both sides by 0.45:

\[ B = \frac{369}{0.45} \]

Calculating this gives:

\[ B = 820 \]

Thus, the total budget for their student film is \( \boxed{820} \).

To verify:

• Amount spent on props: \( 0.55 \times 820 = 451 \)
• Total spent: \( 369 + 451 = 820 \) which matches the total budget. The calculations are correct.