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. How many of each type of ticket should the business purchase?. A) 11 business class and 16 economy class. B) 12 business class and 15 economy class. C) 15 business class and 12 economy class. D) 16 business class and 11 economy class

Answer 1

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)
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700x + 700y = 18900 ...............(c)
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0 -325y = -3900


y = -3900/-325 = 12

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

C) 15 business class and 12 economy class