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If Bob gives 1/4th of his marbles to Joe, Bob will have the same number of marbles as Joe has. If Joe gives 1/4th of his marbles to Bob, Bob will have three times the number of marbles that Joe has. How many marbles does Bob have?

 Sep 26, 2021
 #1
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b - 1/4 b =  j + 1/4 b

b = j + 1/2 b

1/2 b = j

b = 2j

 

 

b + 1/4 j = 3 ( j - 1/4j)

b + 1/4 j = 3j - 3/4 j

b = 3j - j 

b = 2j

 

Bob has twice as many marbles as Joe.    But we cannot determine EXACTLY how many marbles Bob has.....could be something like 

                                     60:30       or         80:40       or     92:46     etc .....    

 Sep 26, 2021

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