Evan has a job selling magazine and newspaper subscriptions. he earns $23 for each magazine subscription and $54 for each newspaper subscription that he sells. his goal is to make more than $642 per week. he expects to sell at least 10 subscriptions per week. if m represents the number of magazine subscriptions sold and n represents the number of newspaper subscriptions sold, which system of inequalities models the given situation?

First we write the variables already defined:
 m = the number of magazine subscriptions sold
 n = the number of newspaper subscriptions sold
 We now write the system of inequations based on the following facts:
 "he earns $ 23 for each magazine subscription and $ 54 for each newspaper subscription that he sells. his goal is to make more than $ 642 per week"
 23m + 54n> 642
 "I have expectations to sell at least 10 subscriptions per week"
 m + n> = 10
  
 A system of inequalities that models the given situation is: 
 23m + 54n> 642 
 m + n> = 10