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Get There Car Rental has cars, vans, and trucks. During one month, they rented a total of 155 vehicles. Nine times as many cars were rented as vans, and three times as many vans were rented as trucks. How many of each type of vehicle was rented from the car rental agency?

Answer :

Final answer:

The Get There Car Rental rented 135 cars, 15 vans, and 5 trucks in one month. This was determined by setting up and solving a system of algebraic equations based on the information provided.

Explanation:

This is a problem of algebra, we can denote the number of cars, vans, and trucks being rented as C, V, and T respectively. Based on the problem, we have the following three equations:

  • C + V + T = 155
  • C = 9V
  • V = 3T

We can substitute the second and third equations into the first equation, so we get 9V + V + V/3 = 155. This simplifies to 33/3V = 155, by solving it, we get V = 15. Insert V=15 into C = 9V, we get C = 135. Eventually, we put V = 15 into V = 3T, we get T = 5.
So, there were 135 cars, 15 vans, and 5 trucks rented from the Get There Car Rental in that one month.

Learn more about algebraic equations here:

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