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

Question

3 years ago

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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).

Mathematics

1 answer:

vovangra [49] · Answer 1 · 2022-12-04T06:02:12+03:00

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

6.4 days

<h3>Word Problem leading to Algebraic expression</h3>

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

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