Jenny wants to rent a truck for one day. She contacted two companies. Laguna's Truck Rentals charges $20 plus $2 per mile. Salvatori's Truck Rentals charges $3 per mile. After how many miles will the total cost for both companies be the same?

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Аноним Аноним · Answer 1 · 2017-04-13T18:23:40+02:00

2m + 20 = 3m
3m - 2m = 20
m = 20

answer 20 miles

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FelisFelis FelisFelis · Answer 2 · 2019-08-29T11:06:28+02:00

Answer:

For 20 miles the cost of both companies be the same.

Step-by-step explanation:

Consider the provided information.

Let x is the miles travel, Laguna's Truck Rentals charges $20 plus $2 per mile. Then the cost for the Laguna's truck is:

[tex]C_1 = 2x +20[/tex]

Now it is given that Salvatori's Truck Rentals charges $3 per mile.

As we know x is the miles travel, and Salvatori's Truck Rentals charges $3 per mile. Thus the total cost for Salvatori's Truck is:

[tex]C_2=3x[/tex]

We need to find the number of miles for which the total cost for both companies be the same.

For same cost [tex]C_1=C_2[/tex] thus,

[tex]2x +20=3x[/tex]

Subtract 2x from both sides.

[tex]2x-2x +20=3x-2x[/tex]

[tex]20=x[/tex]

Hence, for 20 miles the cost of both companies be the same.