#### Emily Angel

##### New Member

I am stuck on a work question that we are required to solve using the matrix (or Gauss-Jordan) method.

"A car rental company wants to buy 100 new cars. Compact cars cost $12,000 each,

intermediate size cars cost $18,000 each, full size cars cost $24,000 each, and the company

has a budget of $1,500,000. If they purchase twice as many compact cars as intermediate

sized cars, determine the number of cars of each type that they buy, assuming they

spend the entire budget."

I am fairly certain that I could solve this easily, except I cannot figure out the proper three equations that correspond to this question. I someone could help me figure them out, it would be greatly appreciated!intermediate size cars cost $18,000 each, full size cars cost $24,000 each, and the company

has a budget of $1,500,000. If they purchase twice as many compact cars as intermediate

sized cars, determine the number of cars of each type that they buy, assuming they

spend the entire budget."