SOLUTION: Over the last three years, Salesperson A has earned twice as much as Salesperson B, who in turn has averaged 50% more than Salesperson C. The three combined to make $220,000 over

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Question 321197: Over the last three years, Salesperson A has earned twice as much as Salesperson B, who in turn has averaged 50% more than Salesperson C. The three combined to make $220,000 over the three years. How much did Salesperson B earn on average in any year?
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
A=2B
B=1.5C OR C=B/1.5
A+B+C=220,000
2B+B+B/1.5=220,000
3B+B/1.5=220,000
(3B*1.5+B)/1.5=220,000
(4.5B+B)/1.5=220,000
5.5B/1.2=220,000 CROSS MULTIPLY
5.5B=220,000*1,5
5.5B=330,000
B=330,000/5.5
B=$60,000 WAS B'S SALARY OVER 3 YEARS..
A=2*60,000=$120,000 WAS A'S SALARY.
C=60,000/1.5=$40,000 WAS C'S SALARY.
PROOF:
60,000+120,000+40,000=220,000
220,000=220,000
B'S AVERAGE YEARLY SALARY WAS 60,000/3=$20,000 ANS.