SOLUTION: Henry and Imran had the same number of playing cards. Henry gave away 4/5 of his playing cards while Imran gave away 5/7 of his playing cards. Given that Henry gave away 12 playing

Question 1191480: Henry and Imran had the same number of playing cards. Henry gave away 4/5 of his playing cards while Imran gave away 5/7 of his playing cards. Given that Henry gave away 12 playing cards more than Imran, how many playing cards did Henry have at first?
Answer by ikleyn(52858) (Show Source): You can put this solution on YOUR website!
.
Henry and Imran had the same number of playing cards.
Henry gave away 4/5 of his playing cards while Imran gave away 5/7 of his playing cards.
Given that Henry gave away 12 playing cards more than Imran,
how many playing cards did Henry have at first?
~~~~~~~~~~~~~~

Let x = # of Henry's playing cards = # of Imran playing cards.


After giving away, we have this equation

     -  = 12


To solve it, multiply both sides by 35.  You will get

    28x - 25x = 12*35

       3x     = 12*35

        x     =  4*35 = 140.


ANSWER.  Henry had 140 playing cards at first.

Solved.

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