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To rent a car, company A charges a fee of \$50 for the first day and \$4

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Re: To rent a car, company A charges a fee of \$50 for the first day and \$4 [#permalink]
1
Kudos
from given info we know
50+40*(x-1) = 70+50*(x-2)
where x is number of days
solve for x = 4
option B

achloes wrote:
To rent a car, company A charges a fee of \$50 for the first day and \$40 per day for each additional day thereafter. To rent the same car, company B charges \$35 for each of the first two days and \$50 per day for each day thereafter. Assuming a customer rents a car for more than two days, how many days would a car have to be rented so that the total rental cost would be equal for company A and for company B?

(A) 3 days
(B) 4 days
(C) 5 days
(D) 6 days
(E) 7 days
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Re: To rent a car, company A charges a fee of \$50 for the first day and \$4 [#permalink]
1
Kudos
Given,
Company A:
First Day rental- \$50
Thereafter, \$40/day

Company B:
1st & 2nd Day rental- \$35
Thereafter, \$50/day

Rental for 2 days:
Company A: \$50 + \$40 =\$90
Company A: \$35 + \$35 =\$70

Let no. of days car rented after 2 days be x
90 + 40x = 70 + 50x
x=2

So total no. of days = 2+2 = 4 days

Option B
Re: To rent a car, company A charges a fee of \$50 for the first day and \$4 [#permalink]