Question

Sara makes hair clips and sells them for $6 each. Her total costs are $50 plus $2.80 per clip. How many clips, x, does she have to sell to make a profit?

Answer 1

16 clips

Step-by-step explanation

Sara makes hair clips and sells them for $6 each.

Let the number of clips sold be x.

So, her total sales will be:

Sales = 6 * x = $6x

Her total costs are $50 plus $2.80 per clip.

This means that her total cost is:

Cost = 50 + 2.80 * x = 50 + 2.8x

For her to make a profit, her sales must be greater than her cost. That is:

`\begin{gathered} \Rightarrow\text{ 6x > 50 + 2.8x} \\ \Rightarrow\text{ 6x - 2.8x > 50} \\ 3.2x\text{ > 50} \\ x\text{ > }(50)/(3.2) \\ x\text{ >1}5.625 \end{gathered}`

Since the number of clips must be a whole number, it simply means that she must sell at least 16 clips to make a profit.

So the answer is 16.