Abusiness 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.

a) 700x + 375y = 27
x + y = 15,000
b) x + 375y = 15,000
700x + y = 27
c) 700x + y = 15,000
x + 375y = 27
d) 700x + 375y = 15,000
x + y = 27

Step-by-step explanation:

Given:

Total employees to attend business = 27

Let 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;

Also Given:

Total Money need to spend = $15,000

Cost 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;

Hence the System of equation will be

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step-by-step explanation: