SOLUTION: Leo has 8 dollars more than Karen and Karen has 15 dollars more than Ress.Together they have 59 dollars. How much money does each have?

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Question 507624: Leo has 8 dollars more than Karen and Karen has 15 dollars more than Ress.Together they have 59 dollars. How much money does each have?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let L be the amount of money Leo has, K Karen, and R Ress.
1.L=K%2B8
2.K=15%2BR
3.L%2BK%2BR=59
Subsititute from 1 and 2 into eq. 3,
From 1,
L=K%2B8
L=%2815%2BR%29%2B8
L=R%2B23
Now substitute,
L%2BK%2BR=59
%28R%2B23%29%2B%28R%2B15%29%2BR=59
3R%2B38=59
3R=21
highlight%28R=7%29
Now that you know R work backwards.
From 2,
K=15%2BR
K=15%2B7
highlight%28K=22%29
From 1,
L=K%2B8
L=22%2B8
highlight%28L=30%29