SOLUTION: commision A company pays its salespersons on a basis of a certain percentage of the first $100,000 in sales plus a certain percentage of any amount over $100,000 in sales.

Question 153667This question is from textbook introductory mathematical analysis , for business ,economics and the life and social science
: commision

A company pays its salespersons on a basis of a certain percentage of the first $100,000 in sales plus a certain percentage of any amount over $100,000 in sales.If one salesperson earned $8500 on sales of $175000 and another salesperson earned $14800 on sales of $280,000 find the two percentages
model:1 175000x + 100,0000- x=8500
Can you please advise me how to construct models of worded questions. I am not sure what i should do with the $8500 AND the $175000 in this problem, however i know that commission is an percentage of the amount sales This question is from textbook introductory mathematical analysis , for business ,economics and the life and social science

Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
let x="percentage on 1st 100000" and let y="percentage on amount OVER 100000"

"one salesperson earned $8500 on sales of $175000" __ 100000x+75000y=8500

"another salesperson earned $14800 on sales of $280,000" __ 100000x+180000y=14800

subtracting 1st eqn from 2nd eqn __ 105000y=6300 __ dividing by 105000 __ y=.06 or 6%

substituting __ 100000x+75000(.06)=8500 __ 100000x+4500=8500 __ subtracting 4500 __ 100000x=4000
__ dividing by 100000 __ x=.04 or 4%
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