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(52855) (Show Source):
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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?
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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.
