SOLUTION: Kirk has 12 dollars less than Jim. If Jim spends half of his money, and Kird spends none, the. Kirk will have two dollars more than Jim. How much money did they both start with?

Algebra ->  Equations -> SOLUTION: Kirk has 12 dollars less than Jim. If Jim spends half of his money, and Kird spends none, the. Kirk will have two dollars more than Jim. How much money did they both start with?      Log On


   

Question 1000170: Kirk has 12 dollars less than Jim. If Jim spends half of his money, and Kird spends none, the. Kirk will have two dollars more than Jim. How much money did they both start with?
Found 2 solutions by stanbon, josmiceli:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Kirk has 12 dollars less than Jim. If Jim spends half of his money, and Kirk spends none, then Kirk will have two dollars more than Jim. How much money did they both start with?
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Equations:
k = j - 12
k = (j/2) + 2
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Substitute and solve for "j"::
j - 12 = (j/2)+2
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j/2 = 14
Jim = $28 (amt. Jim started with)
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Kirk = j-12 = $14 (amt. Kirk started with)
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Cheers,
Stan H.
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Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +k+ = amount Kirk starts with
Let +j+ = amount Jim starts with
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(1) +k+=+j+-+12+
(2) +j+-+j%2F2+%2B+2+=+k+
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(2) +j%2F2+%2B+2+=+k+
Substitute (1) into (2)
(2) +j%2F2+%2B+2+=+j+-+12+
(2) +2+=+j+-+j%2F2+-+12+
(2) +j%2F2+=+14+
(2) +j+=+28+
and
(1) +k+=+j+-+12+
(1) +k+=+28+-+12+
(1) +k+=+16+
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Kirk started with $16
Jim started with $28
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check:
(1) +k+=+j+-+12+
(1) +16+=+28+-+12+
(1) 16+=+16+
and
(2) +j+-+j%2F2+%2B+2+=+k+
(2) +28+-+14+%2B+2+=+16+
(2) +16+=+16+
OK