SOLUTION: identify the variable and write an equation that describes the situation: gwen sold her car on consignment for x dollars. the sales woman's commision was 10% of the selling price a

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Question 243141: identify the variable and write an equation that describes the situation: gwen sold her car on consignment for x dollars. the sales woman's commision was 10% of the selling price and gwen received $6570.
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
car is sold for x dollars
sales woman's commission was 10% of the sale price which made it .1*x
gwen gets .9x
gwen received 6570
.9x = 6570
x = 6570/.9 = 7300

the car sold for 7300

the sales lady took out 10% which means she received 730.

gwen got 7300 - 730 = 6570

I believe the variable you are looking for is x which is the selling price of the vehicle.

the equation for what gwen got would be:

6570 = (1-.10)*x

this makes the the equation for the selling price of the vehicle to become:

x = 6570/(1-.10) = 6570 / .9

6570/.9 = 7300