Jacob and Nathan had an equal number of baseball cards. After Jacob gave away 49 baseball cards and Nathan gave away 85 baseball cards, Jacob had 5 times as many baseball cards as Nathan. How many baseball cards did each have at first?
+14913 How many baseball cards did each have at first?
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\(j=n\\ j-49=5(n-85)\\ n-49=5n-425\\ 4n=425-49\\ n=94\\ j=94\)
94 baseball cards did each have at first.
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+237 Let Jacob and Nathan had x baseball cards
Jacob gave away 49 cards i.e. x - 49
Nathan gave away 85 cards i.e. x - 85
Jacob = 5 Nathan
x - 49 = 5 (x - 85)
x - 49 = 5x - 425
x - 5x = -425 + 49
-4x = -376 => x = 376/4 = 94
=> Jacob and Nathan had 94 baseball cards
