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Marcus and Lauren each manage an ice cream parlor that is open during the summer.

Marcus pays a one-time rental fee of $400 and earns an average of $300 per day from ice cream sales.

Lauren pays a one-time rental fee of $300 and earns an average of $250 per day from ice cream sales.

How many days would it take Marcus and Lauren to earn the same amount of profit?

Create an equation to model this equation where x represents the number of days. Then, complete the sentence below by solving for x.

 Nov 15, 2016
 #1
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Marcus's  total  profit can be  modeled by 300x - 400

 

Lauren's total profit can be modeled by  250x - 300

 

Setting these equal, we have

 

300x - 400  = 250x - 300      add 400 to both sies, subtract 250x from each side

 

50x = 100   ....divide both sides by 2

 

x = 2 days  

 

 

 

 

cool cool cool

 Nov 15, 2016

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