SOLUTION: The average of the salaries of Kelly, Renee, and Nina is $37,000 a year. If Kelly earns $9000 less than Renee, and Nina's salary is two-thirds of Renee's salary, find the salary of

Question 1015346: The average of the salaries of Kelly, Renee, and Nina is $37,000 a year. If Kelly earns $9000 less than Renee, and Nina's salary is two-thirds of Renee's salary, find the salary of each person.
please help me solve this, thank you
Answer by FrankM(1040) (Show Source): You can put this solution on YOUR website!
K+R+N=37000
K=R-9000
N=(2/3)R
Since we know K and N in terms of R, substitute -
(R-9000)+R+((2/3)R) = 37000

Let's multiply both sides by 3 -
3R-27000+3R+2R= 111,000
8R-27000=111,000
8R=138,000
R= $17,250
K= $8,250
N= $11,500
(Check to see it adds to the sum you stated and the other 2 equations work. This is how you catch a mistake)
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