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Question 363478: Tom and Alison are both salespeople . tom's weekly compensation consist of $300 plus 20 percent of his sales. Alison's weekly compensation consist of $200 plus 25 percent of her sales. if they both had the same amount of sales and the same
compensation for a particular week, what was that compensation in dollars ?
Answer by robertb(5830)   (Show Source):
You can put this solution on YOUR website! "tom's weekly compensation consist of $300 plus 20 percent of his sales" = 300+0.20t
"Alison's weekly compensation consist of $200 plus 25 percent of her sales" = 200+0.25a.
Here we let t = Tom's weekly sales, a = Allison's weekly sales.
"they both had the same amount of sales" means t = a.
"and the same compensation for a particular week" means 200+0.25a = 300+0.20t.
By direct substitution, 200+0.25a = 300 + 0.20a, or
0.05a = 100, or a = 2000, the amount of sales of Allison, which is also the amount of sales of Tom.
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