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?

Guest Jun 25, 2022

#1**+1 **

How many baseball cards did each have at first?

**Hello Guest!**

\(j=n\\ j-49=5(n-85)\\ n-49=5n-425\\ 4n=425-49\\ n=94\\ j=94\)

94 baseball cards did each have at first.

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asinus Jun 26, 2022

#2**+1 **

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

Slimesewer Jun 26, 2022