Question

Clearwater Boating Company charges a $15 rental fee for a boat in addition to charging $20 per hour. After how many hours would Clearwater Boating Company and The Lakeside Marina cost the same amount?

Answer 1

4 hours

Explanation:

P.S - The exact question is -

Given - The Lakeside Marina charges a $35 rental fee for a boat in

addition to charging $15 per hour. Clear water Boating Company

charges a $15 rental fee for a boat in addition to charging $20

per hour.

To find - After how many hours would Clear water Boating Company

and The Lakeside Marina cost the same amount?

Proof -

Let per hour charge = x

Given that ,

The Lakeside Marina charges a $35 rental fee for a boat in addition to charging $15 per hour.

⇒Amount Lakeside marina charges = 15x + 35

Also,

Clear water Boating Company charges a $15 rental fee for a boat in addition to charging $20 per hour.

⇒Amount Clear water Boating Company charges = 20x + 15

Now,

Clear-water Boating Company and The Lakeside Marina cost the same amount if

15x + 35 = 20x + 15

⇒35 - 15 = 20x - 15x

⇒20 = 5x

⇒x =
`(20)/(5)` = 4

∴ we get

After 4 hours Clear water Boating Company and The Lakeside Marina cost the same amount.

Verification -

Amount of Clear water Boating Company = 20x + 15

= 20(4) + 15

= 80 + 15

= 95

⇒Amount of Clear water Boating Company for 4 hours = $95

Now,

Amount of Lakeside marina = 15x + 35

= 15(4) + 35

= 60 + 35

= 95

⇒Amount of Lakeside marina for 4 hours = $95

We can see that

For 4 hours ,

Amount of Clear water Boating Company = Amount of Lakeside marina