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Let Terrence have T cards at the beginning.

So Ronald has T/4 cards at the beginning.

Now,
T – 117 = (T/4) + 117
(3/4)T = 234
T = (4/3)234 = 312

So Terrence had 312 cards while Ronald has 312/4 = 78 cards

Let U be the number of cards Terrence must give to Ronald so that Ronald can have 5/8 as many cards as Terrence.

So 312 – U = 5/8 (78 + U)
312 – U = 48.75 + 5/8(U)
(13/8)U = 263.25
U = 162 #

 

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