Susan makes and sells purses. the purses cost her $12 each to make, and she sells them for $25. this saturday, she is renting a booth at a craft fair for $60. write an equation that can be used to se how many purses susan needs to sell to make a profit of 250

Susan needs to sell 24 purses.

The formula to calculate profit will be:

= Selling price - Cost price

Let the number of purses that she need to make to make a profit of $250 be represented by x.

Based on the information given, the cost price will be the cost of the booth and the cost incurred in making the purse. This will be:

= $60 + ($12 × x)

= $60 + 12x

Since she sells the purse for $25, the revenue that will be generated will be:

= ($25 × x)

= 25x

Then, we will put the values gotten into the profit formula and this will be:

Profit = Selling price - Cost price

$250 = 25x - ($60 + 12x)

$250 = 25x - $60 - 12x

Collect like terms

$250 + $60 = 25x - 12x

$310 = 13x

x = $310/13

x = 23.8

x = 24 approximately

Therefore, Susan needs to sell 24 purses.

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