First- Class Furniture pays its salespeople $500 per week, plus a 4% commission on sales. Famous Furniture pays its salespeople $400 per week, plus a 6% commission on sales. The inequality 400 + 0.06x 500 + 0.04x can be used to find the amount in dollars of furniture that a salesperson would need to sell per week to earn more at Famous than at First-Class. How much would a salesperson need to sell per week to earn more at Famous Furniture?

Question

First- Class Furniture pays its salespeople $500 per week, plus a 4% commission on sales. Famous Furniture pays its salespeople $400 per week, plus a 6% commission on sales. The inequality 400 + 0.06x > 500 + 0.04x can be used to find the amount in dollars of furniture that a salesperson would need to sell per week to earn more at Famous than at First-Class. How much would a salesperson need to sell per week to earn more at Famous Furniture?

ScamTheMan · Answer

Well the first step is to put it into a (x = number) format.  You do this by subtracting like terms.

400 + 0.06x > 500 + 0.04x
Subtract the 400 by 500, and the 0.04x by 0.06x

This gives you 0.02x > 100.  Now divide both sides by 0.02 to get the x by itself.  Since this is a inequalities problem, whenever you divide, you switch the sign.

x < 5000

The salesperson needs to sell 5000 dollars worth of items

mercvriii · Answer

@ScamTheMan Thank you. :)

ScamTheMan · Answer

No problem, make sure to mark it as best response or something