Question

A group of friends were working on a student film. They spent $949 on equipment, which was 73% of their total budget. What was the total budget for their student film?

Answer 1

`\huge\boxed{\sf x = \$ 1300}`

Explanation:

Let the total budget be x.

Given condition:

73% of total budget = 949

73% of x = 949

Key:

of => to multiply

% => out of 100

Solution;

`\displaystyle (73)/(100) * x = 949\\\\Multiply \ (100)/(73) \ to \ both\ sides\\\\x=949 * (100)/(73) \\\\x = (94900)/(73) \\\\x = \$ 1300\\\\\rule[225]{225}{2}`

Answer 2

$1300

Explanation:

Let the total budget be x.

According to the question they spent

73% of their total budget i.e $949

• 73% of x = $949
• 73/100 × x = 949
• x = 949 × 100/73
• x = 1300

∴ the total budget for their student film was $1300.