How to solve this picture algebra question?

enter image source here

1 Answer
Jan 12, 2018

Third-Place Seller Profit =$36=$36

Second-Place Seller Profit =$72=$72

First-Place Seller Profit =$92=$92

Explanation:

.

Let's let the amount that goes to the third-place seller be xx. Then, we can list the amounts that each get as follows:

Third Place Seller =x=x

Second-Place Seller =2x=2x

First-Place Seller =2x+20=2x+20

Now, we can add them up and set the result equal to the total amount of profit available for them to share:

x+2x+2x+20=200x+2x+2x+20=200

5x+20=2005x+20=200

5x=200-205x=20020

5x=1805x=180

x=180/5=36x=1805=36

Third-Place Seller Profit =$36=$36

Second-Place Seller Profit =2($36)=$72=2($36)=$72

First-Place Seller Profit =$72+$20=$92=$72+$20=$92

They add up to $36+$72+$92=$200$36+$72+$92=$200

I can not draw the picture the problem asked but I am sure you can take care of that.