If 4% of motorists on the Turnpike leave at a certain exit and 5% of these go to one particular motel for lodging,out of every 10,000 motorists how many motorists may be expected to go to this motel?

You have 10,000 motorists

Find what is 4% of 10,000

Then find 5% of that number and you have your answer.

=10,000(4%)(5%)

=10,000*(4/100)*(5/100)
=20 motorists.

To determine the number of motorists expected to go to the motel, we can follow these steps:

1. Start with the total number of motorists, which is 10,000.

2. Calculate the number of motorists that leave at the certain exit. Since 4% of the motorists leave at this exit, we multiply 10,000 by 0.04:
10,000 * 0.04 = 400

3. Find the number of motorists that go to the motel. Since 5% of the motorists go to this specific motel, we multiply the number of motorists that leave at the exit (400) by 0.05:
400 * 0.05 = 20

Therefore, out of every 10,000 motorists, it can be expected that 20 motorists will go to this motel.