+0  
 
0
107
2
avatar

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?

 Jun 25, 2022
 #1
avatar+14084 
+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.

laugh  !

 Jun 26, 2022
 #2
avatar+231 
+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

 Jun 26, 2022

6 Online Users