At smith mountain lake boat rentals, it cost $25 per hour to rent a pontoon boat, plus a one-time charge for cleaning. The Bengel family rented a boat from 11 am - 6:30 pm and paid $226.50. If the Jones family rented a boat from 8 am - 1 pm, how much did they pay?

The Jones family paid $164

Step-by-step explanation:

At smith mountain boat lake boat rentals, it cost $25 per hour to rent a platoon boat plus a one time charge for cleaning. The Bengel family rented the boat from 11 am - 6:30 pm and their total charge was $226.50.

The boat cost $25 per hour plus a one time charge for cleaning.

let

one time charge = a

number of hours anyone rent the boat = b

total charge for the boat rent = a + 25b

In the case of Bengel they rented the boat from 11 am - 6:30 pm which is 7 and 1/2 hours = 7.5

Their total charge = $226.50

where b = 7.5

226.50 = a + 25 (7.5)

226.50 = a + 187.5

a = 226.50 - 187.50

a = $39

The one time charge for the boat is $39.

Jones family rent

Jones family rented the boat from 8 am - 1 pm, the number of hours they used is 5 hours.

total charge = 39 + 25 (5)

total charge = 39 + 125

total charge = $164

The Jones family paid $164