matrix word problem

Answer 1

Campus Express offers college students summer charter trips in Europe. The company flies three kinds of airplanes: the Airbus 100, the Airbus 200, and the Airbus 300. Each plane is outfitted with tourist, economy, and first-class seats. The number of each kind of seat in the three types of planes is shown below. The second chart lists the number of reservations for its July flight to France. How many of each kind of plane should the company fly to fill all the seats?
Airbus 100 Airbus 200 Airbus 300
Tourist 50 75 40
Economy 30 45 25
First Class 32 50 30




Category Number of reservations
Tourist Class 305
Economy Class 185
First Class 206

Answer 2

Campus Express offers college students summer charter trips in Europe. The company flies three kinds of airplanes: the Airbus 100, the Airbus 200, and the Airbus 300. Each plane is outfitted with tourist, economy, and first-class seats. The number of each kind of seat in the three types of planes is shown below. The second chart lists the number of reservations for its July flight to France. How many of each kind of plane should the company fly to fill all the seats?
Airbus 100 Airbus 200 Airbus 300
Tourist 50 75 40
Economy 30 45 25
First Class 32 50 30


Category Number of reservations
Tourist Class 305
Economy Class 185
First Class 206

Answer 3

As an accountant for a construction business you have $200,000 to spend on salaries, equipment, and other general expenses. Based on previous records, you expect to spend 5 times as much on salaries as on equipment and you expect general expenses to be 10% of the amount spent on the other two categories combined. Write and solve a system of equations to find the budget for each category.

Answer 4

The parents of a young man who just inherited $120,000 want to invest all of his money for him. They plan to invest in 3 types: growth stocks, blue-chip stocks, and untility stocks. They wish to have the amount invested in growth stocks equal to the sum of the amounts invested in the other two types of stock, and they also wish to have an overall rate of return of 13%. Growth stocks cost 30 per share and will return 4.60 per share. blue-chip stocks cost 100 per share and will return 11 per share; while utility stocks cost 50 per share and will return 5 per share. how many of each type of stock should be purchased to accomplish their goals?

Answer 5

Growth stocks cost 30 per share and will return 4.60 per share. blue-chip stocks cost 100 per share and will return 11 per share; while utility stocks cost 50 per share and will return 5 per share. how many of each type of stock should be purchased to accomplish their goals?