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question：Emily can solve 8 math problems in 20 seconds. How many math problems can she solve in two minutes if she takes three 10-second breaks?
answer：First, I need to determine how many math problems Emily can solve in one minute without any breaks. Since she solves 8 problems in 20 seconds, I can calculate her rate per second and then extend it to 60 seconds.Next, I'll calculate the total time she spends solving problems in two minutes, considering the three 10-second breaks. This means she has 150 seconds of active problem-solving time.Finally, using her problem-solving rate, I'll determine how many problems she can complete in the 150 seconds available.
question：The cafeteria has 20 cookies and 16 brownies to distribute among the 18 students at the after-school program. If each student gets the same number of treats, how many treats will each student receive?
answer：First, I need to determine the total number of treats available by adding the number of cookies and brownies together. There are 20 cookies and 16 brownies, so the total is 20 + 16 = 36 treats.Next, I need to divide the total number of treats equally among the 18 students. To find out how many treats each student gets, I divide 36 by 18, which equals 2.Therefore, each student will receive 2 treats.
question：Coach Thompson, a former member of the 1982 Davidson Wildcats football team, is now a high school football coach. He is planning a training session for his team and wants to use his experience to help his players improve their skills. During his own playing days, Coach Thompson remembers that his team used to practice for 45 minutes on running drills, 30 minutes on passing drills, and 25 minutes on strategy discussions.For his current team, Coach Thompson wants to follow a similar routine but make the session 20% longer to ensure the team is well-prepared. How many total minutes will Coach Thompson's team spend on their training session if he keeps the same proportions of time for each activity as he did in 1982?
answer：First, I need to determine the total time Coach Thompson's team spent on training in 1982. This includes running drills, passing drills, and strategy discussions.Next, I'll calculate 20% of this total time to find out how much additional time will be added to the session.Finally, I'll add the additional time to the original total to find the new total training time for the current team.
question：A computational linguist is testing a new model for understanding language acquisition. She plans to present her findings in a conference where she will showcase how her model can analyze sentences. During her practice sessions, she realizes that her model takes 3 minutes to process one sentence. If she has a total of 45 minutes allocated for her presentation and wants to include a 15-minute Q&A session at the end, how many sentences can she process and present during her talking time?
answer：First, I need to determine the total time available for processing sentences during the presentation. The total presentation time is 45 minutes, and she wants to allocate 15 minutes for the Q&A session. So, the time available for processing sentences is 45 minutes minus 15 minutes, which equals 30 minutes.Next, I know that the model takes 3 minutes to process one sentence. To find out how many sentences can be processed in 30 minutes, I divide the available time by the processing time per sentence.30 minutes divided by 3 minutes per sentence equals 10 sentences.Therefore, she can process and present 10 sentences during her allocated talking time.
question：Sarah is a journalist from the UK covering the Paralympic Games, and she is particularly fascinated by the archery events. She decides to write an article about the average scores achieved by the top three archers in a recent competition. The scores of the top three archers are as follows:1. Archer A scored 256 points.2. Archer B scored 242 points.3. Archer C scored 238 points.Sarah wants to find the average score of these three archers to include in her article. What is the average score of the top three archers?
answer：To find the average score of the top three archers, I will start by adding up their individual scores.Archer A scored 256 points, Archer B scored 242 points, and Archer C scored 238 points. Adding these together gives a total of 736 points.Next, I will divide the total score by the number of archers, which is 3, to calculate the average score.Dividing 736 by 3 results in an average score of 245.333... points.Therefore, the average score of the top three archers is 245.33 points.
question：Coach Smith is a successful football coach whose game tactics are often discussed in columns written by his cousin, Alex. During the football season, Coach Smith's team played a total of 14 games. In each game, his team scored an average of 27 points. Alex wrote 2 columns for every game played, analyzing the tactics and performance of the team. If each column took Alex 3 hours to write, how many total hours did Alex spend writing columns during the season?
answer：First, determine the total number of games played by Coach Smith's team, which is 14 games.Next, calculate the total number of columns Alex wrote by multiplying the number of games by the number of columns per game: 14 games × 2 columns/game = 28 columns.Finally, find the total hours Alex spent writing by multiplying the number of columns by the time taken per column: 28 columns × 3 hours/column = 84 hours.