Question

A prop assistant needs to rent a telescope to use for a scene in a movie. One company charges $57 per day plus a flat fee of $32 to rent a telescope. Another company charged $62 per day with no flat fee. For how many days would the total cost of renting a telescope be the same at both companies? Justify your answer by writing and solving an equation.
Fill in the blanks with the correct answers.

62x = 58x + 32, when x = ____. The total cost of renting a telescope would be the same at both companies for _____ day(s).

Answer 1

The number of days for both Companies to have the same total amount is

6.4 days

Word Problem leading to Algebraic expression

 

Given Data

• Let the total payment be y

• Let the number of days be x

Company A

• Charges per day = $57

• Flat fee = $32

y = 57x+ 32 -----------------1

Company B

• Charges per day = $62

• Flat fee = $0

y = 62x + 0-----------------2

Equating 1 and 2 we have

57x+ 32 = 62x+ 0

Solving for x we have

62x-57x = 32

5x = 32

Divide both sides by 5

x = 32/5

x = 6.4 days

Learn more about word problem here:

brainly.com/question/13818690