Video: US-SAT05S4-Q24-737153925370

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% discount on the price of the ticket to Indianapolis, but he has to pay an additional 5% of the discounted price as a sales tax. What is the final price of the ticket, to the nearest dollar?

03:16

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.

Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.