SOLUTION: Kim and Dustin together have 96 cards, Dustin and Mike together have 93 cards, and Kim and Mike together has 81 cards. How many cards does each person have?

Algebra ->  Expressions-with-variables -> SOLUTION: Kim and Dustin together have 96 cards, Dustin and Mike together have 93 cards, and Kim and Mike together has 81 cards. How many cards does each person have?      Log On


   

Question 345774: Kim and Dustin together have 96 cards, Dustin and Mike together have 93 cards, and Kim and Mike together has 81 cards. How many cards does each person have?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.K%2BD=96
2.D%2BM=93
3.K%2BM=81
Subtract eq. 3 from eq. 1,
K%2BD-K-M=96-81
D-M=15
Add that to eq. 2,
D-M%2BD%2BM=15%2B93
2D=108
highlight%28+D=54%29
Then from eq. 1,
K%2B54=96
highlight%28K=42%29
From eq. 3,
42%2BM=81
highlight%28M=39%29