You make picture frames to sell at the flea market; you spent $46 on supplies and you want to sell the frames for $8.50 each. how many frames would you need to sell in order to make a profit

The number of frame he need to sell in order to make a profit is:

                             6 frames.

Let he sells " n " frames in order that he earns profit.

As we know that he will earn profit when the total amount on selling n items exceeds the cost of supplies.

i.e. the selling price is more than the  cost price .

( Since, Profit is calculated by the formula:

Profit= Selling price-Cost price )

Selling price of 1 frame=$ 8.50

Selling price of n frame= $ (8.50 n)

Hence, we need to find n such that:

Hence , we have:

Hence, n=6

          He needs to sell 6 frames in order to make a profit.