Jenny starts a scarf knitting business. She spends $160 on supplies to start the business, and she spends $4.50 to make each scarf. She sells each scarf for $12. Write and solve an inequality that can be used to determine the number of scarves jenny must sell in order to make a profit. What is the minimum number of scarves jenny must sell in order to make a profit

Minimum 22 scarves Jenny has to sell in order to make a profit.

Step-by-step explanation:

Let the number of scarves knitted be 'x'.

Then cost price of the scarves = $ (160+4.5x)

Total selling price of the scarves = $ 12x

In order to attain a profit selling price > cost price

Therefore 12x > 160+4.5x

⇒12x - 4.5x > 160

⇒7.5x > 160

⇒ x >160:7.5

⇒x > 21.33

SO minimum number of scarves should be 22 a whole number.