SOLUTION: Max has twice as much money as Katy, who has $12 more than Greg. All three together have $124. How much does each person have

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Question 481974: Max has twice as much money as Katy, who has $12 more than Greg. All three
together have $124. How much does each person have

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let m = Max's amount of money
Let k = Katy's amount of money
Let +g = Greg's amount of money
given:
(1) +m+=+2k+
(2) +k+=+g+%2B+12+
(3) +m+%2B+k+%2B+g+=+124+
---------------------
From (2):
(2) +g+=+k+-+12+
Substitute (1) and (2) into (3)
(3) +2k+%2B+k+%2B+k+-+12+=+124+
(3) +4k+-+12+=+124+
(3) +4k+=+124+%2B+12+
(3) +4k+=+136+
(3) +k+=+34+
and, from (2)
(2) +g+=+k+-+12+
(2) +g+=+34+-+12+
(2) +g+=+22+
and
(1) +m+=+2k+
(1) +m+=+68+
Katy has $34
Max has $68
Greg has $22
Check:
(3) +m+%2B+k+%2B+g+=+124+
(3) +68+%2B+34+%2B+22+=+124+
(3) +124+=+124+
OK