Question
Maria plans to rent a boat. The boat rental costs $60 per hour, and she will also have to pay for a water safety course that costs $10. Maria wants to spend no more than $280 for the rental and the course. If the boat rental is available only for a whole number of hours, what is the maximum number of hours for which Maria can rent the boat?
The correct answer is: Maria can rent the boat for maximum 4 hours.
Solution:-
- We have given that,
Rental cost of the boat = $60 per hour,
Cost of water safety course = $10
Spend not to be exceeded = $280
- We have to find the maximum number of hours for which Maria can rent the boat.
- Let number of hours = x
Therefore, the boat is rented at $60 per hour,
thus cost to rent a boat will be = 60x (hours)
She wants to spend not more than $280, thus, = ≤ 280
The maximum number of hours for which she can rent the boat will be
= 60x + 10 ≤ 280
Subtract 10 from both sides
= 60x ≤ 280 – 10
Divide both sides by 60
= x ≤ 
We get
x= 4.5
x= 4 ( Because the boat may only be hired for whole numbers of hours, Maria can only rent it for a maximum of four hours.
Answer: Maria can rent the boat for maximum 4 hours
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