Kyle is a salesman. His monthly earnings include a fixed monthly salary and a
commission that is a fixed percentage of his total sales for the month.
• Kyle’s total sales for the month of January were $15,000, and his total
earnings for that month were $2,550.
• Kyle’s total sales for the month of February were $25,000, and his
total earnings for that month were $3,050.
What is Kyle’s fixed monthly salary in dollars?

1

Answers

  • Brainly User
2016-03-31T20:22:35+08:00
Representation:
     x = rate of commission
     y = fixed monthly salary

Equation 1:  (Sales and earnings in January)
   
     15,000 (x) + y = 2,550

Equation 2:  (Sales and earnings in February)

     25,000 (x) + y = 3,050

Solve the system using elimination method:
Step 1:  Eliminate y to find x by subtracting Eq. 1 from Eq.)
 
     25,000x + y =   3,050
   - 15,000x - y =  - 2,550
______________________
   
        10,000x        500
        -----------  = -----------   (Divide both side of equation by 10,000 to find x)
       10,000        10,000
  
        x = 0.05    (or 5%)  the rate of commission

Step 2:  Substitute 0.05 for x to solve for y in any Equation:
     Equation 1:
      
     15,000 x + y = 2,550
     15,000 (.05) + y = 2,550
     750 + y = 2,550
     y = 2,550 - 750
     y = 1,800 (fixed monthly salary)

ANSWER:  Kyle's  monthly fixed salary is US$ 1,800.

To check:
    Rate of commission (x) = 0.05 (or 5%)
    Fixed monthly salary (y) = US$ 1,800

Sales and earnings in January (Equation 1):
     15,000 (.05) + 1,800 = 2,550
      750 + 1,800 = 2,550
      2,550 = 2,550  (True)

Sales and earnings in February (Equation 2):
     25,000 (.05) + 1,800 = 3,050
     1,250 + 1,800 =  3,050
      3,050 = 3,050    (True)




     
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