A business has $15,000 to spend on airline tickets to travel to a conference. It wants 27 of its employees to attend. The business wants to buy as many business-class seats as possible. The business-class seats cost $700. The economy-class seats cost $375. Create a system of equations that models how many of each type of ticket the business should purchase.

Answer:[tex]D) \left \{ {{700x+375y = 15000} \atop {x+y=27}} \right[/tex]Step-by-step explanation:Given:Total employees to attend business = 27Let the number of employees who will travel by business- class be 'x'Let the Number of employees who will travel by economy- class be 'y'Hence Total Number of employees will be equal to sum of the number of employees who will travel by business- class and the Number of employees who will travel by economy- class.Framing in equation form we get;[tex]x+y=27[/tex]Also Given:Total Money need to spend = $15,000Cost of Business- class seat = $700.Cost of Economy- class seat = $375.Hence Total money Need to spend will be will be equal to sum of the number of employees who will travel by business- class multiplied by Cost of Business- class seat and the Number of employees who will travel by economy- class multiplied by Cost of Economy- class seat.Framing in equation form we get;[tex]700x+375y = 15000[/tex]Hence the System of equation will be[tex]\left \{ {{700x+375y = 15000} \atop {x+y=27}} \right.[/tex]