Question

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?

Answer 1

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

answer 20 miles

Answer 2

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

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:

`C_1 = 2x +20`

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:

`C_2=3x`

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

For same cost
`C_1=C_2` thus,

`2x +20=3x`

Subtract 2x from both sides.

`2x-2x +20=3x-2x`

`20=x`

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