SOLUTION: Bobs pens are 1/2 of Billy’s. Each person gets 5 more pens. Now, bobs pens are 2/3 of Billy’s. Originally how many did bob and billy have?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Bobs pens are 1/2 of Billy’s. Each person gets 5 more pens. Now, bobs pens are 2/3 of Billy’s. Originally how many did bob and billy have?      Log On


   

Question 1163549: Bobs pens are 1/2 of Billy’s. Each person gets 5 more pens. Now, bobs pens are 2/3 of Billy’s. Originally how many did bob and billy have?
Answer by ikleyn(52786) About Me  (Show Source):
You can put this solution on YOUR website!
.

Bob = x

Billy = 2x


The equation


    %28x+%2B+5%29%2F%282x%2B5%29 = 2%2F3.


Solve the proportion and find x


    3*(x+5) = 2*(2x + 5)

    3x + 15 = 4x + 10

    15 - 10 = 4x - 3x

     x      = 5


ANSWER.  Bob 5, Billy 10.

Solved.