Algebra problem: a rental car agency charges a flat fee of $138 plus $27 per day to rent a certain car. Another agency charges a fee of $47 plus $40 per day to rent the same car. Find the number of days for which the costs are the same. Round your answer to the nearest whole number of days.

Question

Mathematics

Roderick Hanson

2 June, 11:21

Algebra problem: a rental car agency charges a flat fee of $138 plus $27 per day to rent a certain car. Another agency charges a fee of $47 plus $40 per day to rent the same car. Find the number of days for which the costs are the same. Round your answer to the nearest whole number of days.

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Answers (1)

Know the Answer?

Mariyah Solomon · Answer 1

Let the number of days be x.

138 + 27x = 47 + 40x

40x - 27x = 138 - 47

13x = 91

x = 7

Ans: 7 days

Detailed working:

138 + 27x = 47 + 40x

138 + 27x - 27x = 47 + 40x - 27x

138 = 47 + 13x

138 - 47 = 47 + 13x - 47

91 = 13x

13x = 91

x = 91 : 13

x = 7