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.

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

Answer 1

The business should purchase a system of equations that models the number of business-class and economy-class tickets it should buy.

Step-by-step explanation:

The correct answer is option D: 700x + 375y = 15,000 and x + y = 27.

To create a system of equations that models how many of each type of ticket the business should purchase, we can assign variables to represent the number of business-class tickets (x) and the number of economy-class tickets (y) the business should buy.

First, we know that the business has $15,000 to spend, and each business-class ticket costs $700. So, the cost of all business-class tickets would be 700x.

Next, we know that the number of employees attending the conference is 27. So, we can set up the equation x + y = 27.

Therefore, the system of equations that models how many of each type of ticket the business should purchase is:

700x + 375y = 15,000

x + y = 27

Answer 2

The correct answer is :

D. 700x + 375y = 15,000

x + y = 27

Step-by-step explanation:

1. Let's review the information given to answer the question correctly:

Budget for airline tickets = US$ 15,000

Number of employees attending the conference = 27

Price of business-class ticket = US$ 700

Price of economy-class ticket = US$ 375

2. Let's create a system of equations that models how many of each type of ticket the business should purchase.

x = Number of employees flying business-class

y = Number of employees flying economy-class

x + y = 27 (Number of employees attending the conference)

700x + 375y = 15,000 (Cost of employees flying business plus cost of employees flying economy equal to budget for buying the airline tickets)