Rational number word problems

Because of a problem in the program, the timer in a video player did not begin counting until the video had been playing for several seconds. The player began counting at 0 seconds, even though the video had already played 190 frames. The video plays 25 frames per second.

How many frames had the video already played when the time was equal to -3\dfrac{2}{5} seconds?

Ashley recently opened a store that uses only natural ingredients. She wants to advertise her products by distributing bags of samples in her neighborhood. It takes one person \dfrac{2}{3} of a minute to prepare one bag.

How many hours will it take Ashley and 4 of her friends to prepare 1575 bags of samples?

Kiersten runs a website that helps people learn programming. Every month, Kiersten receives a subscription fee of \$10 from each of the subscribers to her website. Last month, the website had 100 subscribers. This month, 30 new members joined the website, and 10 members cancelled their subscription.

How much money will Kiersten’s online business earn this month?

The average daily balance is the mean of the balance in an account at the end of each day in a month. The following table gives the dates and amounts of the transactions in Elliott’s account in June.

There are 30 days in June.

What is the average daily balance of Elliott’s account for the month of June?

Sathish is going on a 2100-kilometer road trip with 2 friends, whom he will pick up 150 kilometers after he begins the trip and drop off when there are 150 kilometers remaining. The car consumes 6 liters of gas for every 100 kilometers, and gas costs \$1.20 per liter.

Sathish will pay for all of the gas when he is alone in the car, but he and his friends will split the cost evenly when they are together.

How much will Sathish pay for gas?

Fathi has \$1.10 in his printing account. Each sheet of paper he uses reduces his printing account balance by \$0.25. Fathi wants to print out a PDF document that is 47 pages long. To save paper, he decides to print on both sides of each sheet and to print two pages on each side of the sheet.

After Fathi prints, what will be the balance in his printing account?

To take a taxi, it costs \$3.00 plus an additional \$2.00 per mile traveled. You spent exactly \$20 on a taxi, which includes the \$1 tip you left.

How many miles did you travel?

Fatima conducted an experiment where she asked people to estimate the temperature of glasses of water. She recorded how far the estimates were from the actual temperatures, using positive values for guesses that were too high and negative values for guesses that were too low. Her results are in the table below.

What is the mean value in Fatima’s results?

Julian is using a biking app that compares his position to a simulated biker traveling Julian’s target speed. When Julian is behind the simulated biker, he has a negative position.
Julian sets the simulated biker to a speed of 20\ km/h. After he rides his bike for 15 minutes, Julian’s app reports a position of -2\dfrac{1}{4}\ km .

What has Julian’s average speed been so far?

Joelle is working on a school report in a word processor. She wants to place an oversized image which is 30.51\ cm wide so that it appears centered on the page. The width of the page is 21.59\ cm. In the program, horizontal positions to the right of the leftmost edge of the page are positive.

What horizontal position for the left edge of the image should Joelle use to center the image?

Adriano runs a website that helps writers write better stories. Every month, Adriano receives a subscription fee of \$5 from each of the subscribers to his website. The website had 200 subscribers last month. This month 40 new members joined the website and 10 members cancelled their subscription.

How much money will Adriano’s online business earn this month?