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?

Question

Mathematics

Barnaby

22 May, 16:25

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?

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Answers (1)

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Louisa · Answer 1

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.