+0  
 
0
5267
3
avatar

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?

Guest Aug 3, 2014

Best Answer 

 #3
avatar+4471 
+5

Sally = y

Sue = z

y = 200

Before z = 3z, y = 2z

If y = 200, then 2z = 200 --> z = 100 before, now z = 3z = 3(100) = $300.

AzizHusain  Aug 3, 2014
Sort: 

3+0 Answers

 #1
avatar+4471 
+5

Convert from verbal to mathematical:

A = 2B (twice as much)

B = 0.5C + C (50% more than C - must add the + C since B earned 50% more than C plus the actual amount C made)

A + B + C = $220,000

By substituting 2B for A, we obtain 2B + B + C = 220,000, then 3B + C = 220,000 --> C = 220,000 - 3B

Then, we substitute for C in B = 0.5C + C --> B = 0.5(220,000 - 3B) + 220,000 - 3B

B = 110,000 - 1.5B + 220,000 - 3B

B = 330,000 - 4.5B

5.5B = 330,000

B = $60,000.

Since the 3 made $220,000 over 3 years...then, on average, B made 60,000 / 3 = $20,000 in any year.

To check: 

A = 2B = 2(60,000) = $120,000

C = 220,000 - 3B = 220,000 - 3(60,000) = 220,000 - 180,000 = $40,000

A + B + C = 220,000?

$120,000 + $60,000 + $40,000 = $220,000...Yes.

AzizHusain  Aug 3, 2014
 #2
avatar
0

Sally makes $200 per week. Before Sue had her pay tripled, Sally made twice as much as Sue. How much does Sue now make per week?

Guest Aug 3, 2014
 #3
avatar+4471 
+5
Best Answer

Sally = y

Sue = z

y = 200

Before z = 3z, y = 2z

If y = 200, then 2z = 200 --> z = 100 before, now z = 3z = 3(100) = $300.

AzizHusain  Aug 3, 2014

12 Online Users

avatar
We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details