Question

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.
700x + 375y = 27
x + y = 15,000
x + 375y = 15,000
700x + y = 27
700x + y = 15,000
x + 375y = 27
700x + 375y = 15,000
x + y = 27

Answer 1

Answer:

15 business class and 12 economy class

Step-by-step explanation:

Let the x be the number of business class.   y be the number of economy

x + y = 27                 ...............(a)

700x + 375y = 15000   .............(b)

Multiply first equation by 700

700*x + 700*y = 700*27

700x + 700y = 18900 ...............(c)

Recall:

700x + 375y = 15000   .............(b)

-

700x + 700y = 18900 ...............(c)

____________________________

 0       -325y   =  -3900

y = -3900/-325 = 12

Recall x + y = 27,    x + 12 = 27,   x = 27 - 12 = 15

the answer is 15 business class and 12 economy class