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 t

Algebra ->  Percentages: Solvers, Trainers, Word Problems and pie charts -> 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 t      Log On


   

Question 591962: 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 josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = amount salesperson A earns in 3 yrs
Let +b+ = amount salesperson B earns in 3 yrs
Let +c+ = amount salesperson C earns in 3 yrs
given:
(1) +a+=+2b+
(2) +b+=+1.5c+
(3) +a+%2B+b+%2B+c+=+220000+
-------------------
(2) +c+=+b%2F1.5+
By substitution
+2b+%2B+b+%2B+b%2F1.5+=+220000+
+3b+%2B+1.5b+%2B+b+=+330000+
+5.5b+=+330000+
+b+=+60000+
and
(1) +a+=+2b+
+a+=+120000+
and
+c+=+b%2F1.5+
+c+=+40000+
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+60000%2F3+=+20000+
Salesperson B averaged $ 20,000 per yr