how much should you charge for each scarf?

Question

you make 35 scarves to sell at arts and apples this weekend and anticipate selling all of them. you spent $85 on materials and hope to make a profit of $90. How much should you charge for each scarf?

Answer 1

A $90 profit means you make $90 more than you spent on the materials.  This can be written as an equation:

 

(Profit) = (Revenue) - (Cost of materials).  Revenue is the amount you earn by selling the scarves.

 

The amount of revenue is the number of scarves sold times the price for each scarf.  Here's an example to show why this makes sense:  If you sell 2 scarves at $10 each, you earn $20.  This is 2 times $10. 

 

35 scarves are to be sold, but we don't know the price we're selling them at yet.  This is our variable, x.  The revenue is then 35 times x, or 35x.

 

Putting all of this information into the equation, we have

 

90 = 35x - 85.  Add 85 to both sides:

175 = 35x. Divide both sides by 35:

5 = x.

 

So, to make a profit of $90, you have to sell the scarves at $5 each.

Answer 2

Profit means you need to earn back the amount you spent and then make extra on top of it. This means you need to make a total of $85 (the amount you spent) plus $90 (the extra you're hoping to make).

 

To rewrite using equations, your total for the sale:

$85 + $90 = $175

 

Next, you need to divide this total among each scarf, because selling scarves is the only way you'll make money.

$175 / 35 = $5

 

Each scarf should sell for $5.

Answer 3

If you hope to make $90 and have already spent $85, you will need to make $175 (90+85) from your sales.

 

Now you simply need to solve 35(x) = 175 to see how much you must charge per scarf.

 

Since 175/35 = 5, you need to charge $5 per scarf.

Answer 4

$85+$90=$175 is what you need to make altogether to get your money back that was spent on materials and to make a profit of $90

$175/35=$5.00 per scarf is what you should charge

Answer 5

After you make the scarves, the profit is -$85. To make that $90, you need to earn $(85+90) = $175 from selling the scarves.

 

Since you will sell 35 scarves, you need to sell each one for $175/35 = $5.