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Don, an office equipment sales​ representative, earns a weekly salary plus a commission on his sales. One week his total compensation on sales of ​$3000 was ​$610. The next week his total compensation on sales of ​$4000 was ​$660. Find​ Don's weekly salary and his commission rate.

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Answer:

The answer is: Don's weekly salary is $460 and his sales' commission is 5%

Explanation:

We have to solve the following two equations:

Don's salary week 1 = b + $3,000c =$610

Don's salary week 2 = b + $4,000c =$660

Where:

  • b = Don's base weekly salary
  • c = sales' commission

Step 1:

b + $4,000c =$660

-(b + $3,000c =$610)

$1,000c = $50

Step 2:

c = $50 / $1,000 = 0.05 = 5%

Step 3:

b + ($3,000 x 5%) = $610

b + $150 = $610

Step 4.

b = $610 -$150 = $460

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