John is on vacation and forgot his video camera. He found a camera shop that rents the cameras. They charge a one-time cleaning fee of $45 and the per day rental charge is $23. If his final bill is $229, how many days did John rent the video camera? Write and solve an equation for John's camera rental.

Respuesta :

Given:

One-time cleaning fee = $45

Per day rental charge = $23

Final bill = $229

To find:

The number of days for which John takes video camera on rent.

Solution:

Let the number of days be d.

Rental charge for one day = $23

Rental charge for d days = $23d

Total charges = One-time cleaning fee + Rental charge for d days

[tex]Total=45+23d[/tex]

Final bill is $229. So,

[tex]45+23d=229[/tex]

Subtract 45 from both sides.

[tex]45+23d-45=229-45[/tex]

[tex]23d=184[/tex]

Divide both sides by 23.

[tex]d=\dfrac{184}{23}[/tex]

[tex]d=8[/tex]

Therefore, the required number of days is 8.

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