# 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
by melbacorbell

• 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)