Question

Meena sells apple pies at the farmers market. She charges $12 for each pie. It costs her $5 to make each pie, and there is a $35 fee she must pay each week to have a booth at the market.
Write and solve an inequality to find the number of pies Meena must sell each week in order to make a profit.

Answer 1

12x - 5x > 35   ; Meena must sell more than 5 pies each week to make a profit.

Where sales 12x less costs 5x is greater than $35.

12x - 5x   > 35
  7x          > 35
 ÷7             ÷ 7
 x             > 5

To check:

Let x be 6; it is greater than 5.

   12x - 5x   > 35
12(6) - 5(6) > 35
    72  - 30   > 35
            42   > 35

Answer 2

The answer to your question is 12x - 5x > 35.

Meena must sell more than 5 pies each week to make a profit.