Total income minus total expenses

Question

Hanna recently spent 100$ selling tee-shirts. At her business, she purchases plain tee-shirts for 11$ each, prints graphics on them, and then sells them for 26$ each. What is the minimum number of tee-shirts that Hanna would need to sell in order to make a profit (total income minus total expenses) of at least $400?

Answer 1

Let x = the number of t-shirts that Hanna sells

 

     Income = $26*x

     Expenses = $11*x + $100

 

     Profit = Income - Expenses

     Profit = 26x - (11x+100)

     Profit = 26x - 11x - 100

     Profit = 15x - 100

 

Hanna wants a profit of at least $400:

 

     400 ≤ 15x - 100

 

Solve for x.  Round up if you need to.