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Get There Car Rental has a variety of vehicles, including cars, vans, and trucks. In one month, they rented a total of 155 vehicles. The number of cars rented was nine times the number of vans rented, and the number of vans rented was three times the number of trucks rented.

Determine how many of each type of vehicle was rented from the car rental agency.

Answer :

The rental company rented 135 cars, 15 vans, and 5 trucks. We can find this by setting up and solving a system of equations based on the conditions given in the problem.

We can start the solution process by defining our variables. We'll denote C as the number of cars rented, V as the number of vans, and T as the number of trucks. According to the problem, we have three equations:

  • C + V + T = 155 (since 155 vehicles were rented in total)
  • C = 9V (since the number of cars rented was nine times the number of vans)
  • V = 3T (since the number of vans rented was three times the number of trucks).

Firstly, we substitute the third equation into the second to get: C = 9*(3T) = 27T. Next, we substitute C and V from the second and third equations into the first equation. Our first equation becomes: 27T + 3T + T = 155, which simplifies to 31T = 155. To find the number of trucks, we divide both sides by 31: T = 155 / 31 = 5. Now that we know T, we can find V = 3* T = 3*5 = 15 for the number of vans. And for the number of cars: C = 9*V = 9*15 = 135.

So, the main answer is: Get There Car Rental rented 135 cars, 15 vans, and 5 trucks during the month. The explanation above demonstrates the steps that one would take to solve the problem.

Learn more about Solving Systems of Equations here:

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