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
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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(52778) (Show Source):
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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.