How to solve this picture algebra question?

enter image source here

1 Answer
Jan 12, 2018

Third-Place Seller Profit #=$36#

Second-Place Seller Profit #=$72#

First-Place Seller Profit #=$92#

Explanation:

.

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

Third Place Seller #=x#

Second-Place Seller #=2x#

First-Place Seller #=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=200#

#5x+20=200#

#5x=200-20#

#5x=180#

#x=180/5=36#

Third-Place Seller Profit #=$36#

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

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

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

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