Answer:
Tom paid $51 renting the bike for 5 hours
Step-by-step explanation:
Given:
Oceanside bike rental charges $11 plus $8 per hour for renting.
Tom paid $51 to rent a bike.
To find the number of hours Tom rented the bike for.
Solution:
Let Tom rent the bike for =[tex]x[/tex] hours.
Hourly rate of renting = $8 per hour
Using unitary method find cost of renting for [tex]x[/tex] hours.
If renting for 1 hour costs = $8
Then for [tex]x[/tex] hours, the cost in dollars will be = [tex]8x[/tex]
Fixed charges = $11
∴ Total cost of renting a bike in dollars for [tex]x[/tex] hours will be given as:
[tex]8x+11[/tex]
Tom paid a total charge of = $51.
So, we have:
[tex]8x+11=51[/tex]
Subtracting both sides by 11.
[tex]8x+11-11=51-11[/tex]
[tex]8x=40[/tex]
Dividing both sides by 8.
[tex]\frac{8x}{8}=\frac{40}{8}[/tex]
∴ [tex]x=5[/tex]
Thus, Tom rents the bike for 5 hours.
