A rental car company is running two specials. Customers can pay $40 to rent a compact car for the first day plus $2 for each additional day, or they can rent the same car for $25 the first day and $5 for every additional day beyond that. Farid notices that, given the number of additional days he wants to rent the car for, the two specials are equivalent. How many additional days does Farid want?

Respuesta :

Answer: 5

Step-by-step explanation:

The equation to solve this problem is 40 + 2x = 25 + 5x

Now, to solve for x you first need to subtract 25 from each side:

15 + 2x = 5x

Next, subtract 2x from each side:

15 = 3x

Finally, divide both sides by 3:

5 = x

Farid is renting the car for 5 additional days.

The additional number of days Farid wants to rent the car is 5 days.

Given that, customers can pay $40 to rent a compact car for the first day plus $2 for each additional day, or they can rent the same car for $25 on the first day and $5 for every additional day beyond that.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the number of additional days be x.

Now,  $40 to rent a compact car for the first day plus $2 for each additional day=40+2x

Rent the same car for $25 on the first day and $5 for every additional day=25+5x

Thus, 40+2x=25+5x

⇒3x=15

⇒x=5

Therefore, the additional number of days Farid wants to rent the car is 5 days.

To learn more about the equation visit:

https://brainly.com/question/2463132.

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