Question
high school class is putting together a newsletter. The cost of design and colour copies is $200 plus $0.75 per copy. The class plans to sell the newsletter for $1.25. Determine the number of newsletters made to break even.
Answers
GPT 3.5
To break even, the revenue from selling the newsletters must equal the cost of designing and printing them.
Let x be the number of newsletters made.
The cost of designing and printing x newsletters is given by the equation:
Cost = $200 + $0.75x
The revenue from selling x newsletters is given by the equation:
Revenue = $1.25x
To break even, the cost must equal the revenue:
$200 + $0.75x = $1.25x
Subtract $0.75x from both sides:
$200 = $0.50x
Divide both sides by $0.50:
$200 / $0.50 = x
x = 400
Therefore, the class needs to make 400 newsletters to break even.
Let x be the number of newsletters made.
The cost of designing and printing x newsletters is given by the equation:
Cost = $200 + $0.75x
The revenue from selling x newsletters is given by the equation:
Revenue = $1.25x
To break even, the cost must equal the revenue:
$200 + $0.75x = $1.25x
Subtract $0.75x from both sides:
$200 = $0.50x
Divide both sides by $0.50:
$200 / $0.50 = x
x = 400
Therefore, the class needs to make 400 newsletters to break even.