SOLUTION: the salaries of three workers are to be as follows : Frank is to earn three times as much as sue while sue earns $2 less than tony. if they earn a combined $27, what is the salary

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Question 1113594: the salaries of three workers are to be as follows : Frank is to earn three times as much as sue while sue earns $2 less than tony. if they earn a combined $27, what is the salary of each person?
Answer by ikleyn(52884) About Me  (Show Source):
You can put this solution on YOUR website!
.
Frank   + Sue   + Tony = 27


3*(x-2) + (x-2) + x    = 27         ( <<<---=== x = Tony earning, and I expressed earnings of other two persons according to the condition)


3x - 6 +  x -2  + x = 27


5x - 8 = 27  ====>  5x = 27+8 = 35  ====>  x = 35%2F5 = 7.


Answer.  Tony: 7 dollars;   Sue : 7- 2 = 5 dollars;  Frank : 5*3 = 15 dollars.


Check.  15 + 7 + 5 = 27 dollars.   ! Correct !