SOLUTION: If jim gives $30 to george,both of them have will have the same amount of money.if george gives $50 to jim,jim will have 5 times as much as george.how much money do both of them ha

Question 1002030: If jim gives $30 to george,both of them have will have the same amount of money.if george gives $50 to jim,jim will have 5 times as much as george.how much money do both of them have altogether?
Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
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If Jim gives $30 to George,both of them have will have the same amount of money.
If George gives $50 to Jim, Jim will have 5 times as much as George. How much money do both of them have altogether?
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J - 30 = G + 30.       (1)
5(G - 50) = J + 50.    (2)

Solve this system.

J - G = 30 + 30 = 60,  (3)
5G - 250 = J + 50.     (4)

 J -  G = 60,          (5)
-J + 5G = 300.         (6)

Add (5) and (6). You will get

4G = 360   ----->   G =  = 90.   ----->   J = 150.


Answer. J + G = 150 + 90 = 240.

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