Question

Please Help With This Word Problem

Lee's Rental Company charges an initial fee of $19.25 plus an additional $32.80 per day to rent frenks. Felicia's Rental Company charges an initial fee of $41.10 plus an additional fee of $29.05 per day. Lee wants to know the number of days it will take for the total cost charged by the companies to be the same. Write an equation to represent this situation. Use 'x' as the variable. Find the number of days. Round to the nearest day.
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Answer 1

9514 1404 393

Answer:

6 days

Explanation:

cost at Lee's: 19.25 +32.80x

cost at Felicia's: 41.10 +29.05x

These costs are the same when ...

19.25 +32.80x = 41.10 +29.05x

3.75x = 21.85

x ≈ 5.8267 ≈ 6 . . . . days

It will take 6 days for the total cost to be the same at the two companies.