SOLUTION: Jania sells scarves for $12 each through Etsy.com, a site where people can sell homemade items. Each scarve costs Jania $5.70 to make. Jania had to pay a one-time fee of $150 to pu

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Jania sells scarves for $12 each through Etsy.com, a site where people can sell homemade items. Each scarve costs Jania $5.70 to make. Jania had to pay a one-time fee of $150 to pu      Log On


   

Question 934122: Jania sells scarves for $12 each through Etsy.com, a site where people can sell homemade items. Each scarve costs Jania $5.70 to make. Jania had to pay a one-time fee of $150 to put her items on the website. Jania wants to make sure she can turn a profit on her scarves so she can buy Christmas gifts for the holidays and asks for help. My job is to inform Jania on making a profit on her scarves
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Her revenue needs to be greater than her costs.

Let R be revenue.
let n be how many scarves she makes.
R%3E5.70%2An%2B150

The revenue would be based on how many scarves are actually sold. Assuming all of the n scarves were sold, then R=12n.

Matching these into the earlier equation,
12n%3E5.7n%2B150
%2812-5.7%29n%3E150
6.3n%3E150
n%3E150%2F6.3
realistically would mean highlight%28n%3E=24%29.