During one month, a rental agency rented a total of 155 cars, trucks, and vans. Nine times as many cars were rented as vans, and three times as many vans were rented as trucks. Let x represent cars, let y represent vans and let z represent trucks. Write a system of three equations that represent the number of each vehicle rented

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Answer:

The system of three equations is equal to

[tex]x+y+z=155[/tex]

[tex]y=9x[/tex]

[tex]z=3y[/tex]

Step-by-step explanation:

Let

x ----> the number of cars rented during one month

y ----> the number of vans rented during one month

z ----> the number of trucks rented during one month

we know that

[tex]x+y+z=155[/tex] ----> equation A

[tex]y=9x[/tex] ---> equation B

[tex]z=3y[/tex] ----> equation C