SOLUTION: Jane has a dress shop. She has space for 200 dresses. She sells only red and blue dresses. After reading several fashion magazines she decides to stock her shelves with 34 more b

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Jane has a dress shop. She has space for 200 dresses. She sells only red and blue dresses. After reading several fashion magazines she decides to stock her shelves with 34 more b      Log On


   

Question 133668: Jane has a dress shop. She has space for 200 dresses. She sells only red and blue dresses. After reading several fashion magazines she decides to stock her shelves with 34 more blue dresses than red dresses. How many of each should she stock on her shelves?
Answer by ptaylor(2198) About Me  (Show Source):
You can put this solution on YOUR website!

Let x=number of red dresses
Then x+34=number of blue dresses
So, our equation to solve is:
x+x+34=200 subtract 34 from each side
x+x+34-34=200-34 collect like terms
2x=166 divide both sides by 2
x=83----------number of red dresses
x+34=83+34=117 number of blue dresses
CK
83+117=200
200=200
and
x+34=83+34=117

Hope this helps----ptaylor