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?

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Answers

2015-05-27T11:38:12+08:00

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We let his fixed monthly salary be x and
his fixed percentage be y so our equations will be:
2,550=x+15,000y ...(1)\\ 3,050=x+25,000y...(2)

(2) - (1)
3,050-2,550=x+25,000y-(x+15,000y) \\ 500=10,000y \\ 0.05=y

We substitute the value of y in the first equation:
2,550=x+15,000(0.05) \\ 2,550=x+750 \\ 1,800=x
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