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?

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) (Show Source): You can put this solution on YOUR website!
.


Bob = x

Billy = 2x


The equation


     = .


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.

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