### Video Transcript

The given table shows information
on ticket prices in dollars and distances in meters of flights from Detroit to
different destinations, as seen on the website of an airline company. A passenger receives a 20-percent
discount on the price of the ticket to Indianapolis, but he has to pay an additional
five percent of the discounted price as a sales tax. What is the final price of the
ticket, to the nearest dollar?

The standard ticket price for a
flight from Detroit to Indianapolis is 216 dollars. We’re told that a passenger gets a
20-percent discount. The full price of the ticket is 100
percent. Therefore, we need to subtract 20
percent from 100 percent to find the discounted price. 100 minus 20 is equal to 80. 80 percent is the same as 80 out of
100 as a fraction. As the line in a fraction means
divide, this can be written as a decimal as 0.8. As 80 divided by 100 is 0.8. We can then calculate the
discounted price by multiplying 216 dollars by 0.8. This is equal to 172 dollars and 80
cents.

The passenger also has to pay an
additional five percent sales tax. 100 percent plus five percent is
equal to 105 percent. Once again, we can write this is a
fraction as 105 over 100 and a decimal 1.05. We can, therefore, calculate the
final price of the ticket by multiplying 172 dollars and 80 cents by 1.05. This gives us a final price of 181
dollars and 44 cents. We need to give our answer to the
nearest dollar. 44 cents is less than 50 cents. Therefore, 181 dollars and 44 cents
rounds down to 181 dollars. The final price of the ticket to
the nearest dollar is 181 dollars.

We could have worked out the answer
by doing one calculation, 216 multiplied by 0.8 multiplied by 1.05. This would also give us 181 dollars
and 44 cents which rounds to 181 to the nearest dollar. A longer method would’ve been to
have found 20 percent of 216 dollars. We could then subtract this from
the ticket price. This would give us 172 dollars and
80 cents. We could then find five percent of
this value and add it on. Our final answer would once again
be 181 dollars.