SOLUTION: jenny has twice as much as money as kristy. If I give kristy $250, she will have 3x as much as Jenny. How much did each of them have originally?

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Question 1028993: jenny has twice as much as money as kristy. If I give kristy $250, she will have 3x as much as Jenny. How much did each of them have originally?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +J+ = original amount Jenny has
Let +k+ = original amount Kristy has
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(1) +j+=+2k+
(2) +k+%2B+250+=+3j+
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Substitute (1) into (2)
(2) +k+%2B+250+=+3%2A2k+
(2) +k+%2B+250+=+6k+
(2) +5k+=+250+
(2) +k+=+50+
and
(1) +j+=+2k+
(1) +j+=+2%2A50+
(1) +j+=+100+
------------------
Originally,
Jenny had $100
Kristy had $50
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check:
(2) +k+%2B+250+=+3j+
(2) +50+%2B+250+=+3%2A100+
(2) +300+=+300+
OK