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question：A successful pop star without formal classical training is planning her latest concert tour. She has 5 albums, each with 12 songs, and she wants to select 20 songs for her concert setlist. During her concerts, she usually spends 4 minutes performing each song. If she wants the concert to last exactly 2 hours, how many more or fewer songs does she need to select to reach her desired concert length?
answer：First, I need to determine the total number of songs the pop star currently plans to perform. She has selected 20 songs, and each song takes 4 minutes to perform. Next, I'll calculate the total duration of the concert based on these 20 songs. Multiplying the number of songs by the duration per song gives 20 songs * 4 minutes = 80 minutes.The desired concert length is exactly 2 hours, which is equivalent to 120 minutes. To find out how many additional songs are needed, I'll subtract the current total duration from the desired duration: 120 minutes - 80 minutes = 40 minutes. Since each song adds 4 minutes to the concert, the number of additional songs required is 40 minutes / 4 minutes per song = 10 songs.Therefore, the pop star needs to select 10 more songs to achieve her desired concert length.
question：Sarah is an elite marathon runner who spends 2 hours every morning training for her upcoming race. She also needs to juggle her time to take care of her two toddlers, Emma and Jack. Each afternoon, she spends 1 hour with Emma reading and playing, and another 1.5 hours with Jack doing crafts and outdoor activities. How many hours does Sarah dedicate to her training and her time with the toddlers in a single day?
answer：First, identify the time Sarah spends on each activity.She spends 2 hours every morning training.In the afternoon, she spends 1 hour with Emma and 1.5 hours with Jack.Add the training time to the time spent with both toddlers.2 hours (training) + 1 hour (Emma) + 1.5 hours (Jack) = 4.5 hours.Therefore, Sarah dedicates a total of 4.5 hours to her training and time with the toddlers in a single day.
question：Yuki is a Japanese exchange student studying in Britain. She wants to buy some souvenirs for her friends back in Japan. She decides to buy 3 keychains and 2 postcards from the local gift shop in London. Each keychain costs 4 British pounds, and each postcard costs 2 British pounds. Yuki has a budget of 20 British pounds for these gifts. After purchasing the souvenirs, she uses some of the remaining money to buy a British snack that costs 3 British pounds. How much money does Yuki have left after all her purchases?
answer：First, I need to calculate the total cost of the keychains. Yuki is buying 3 keychains, each costing 4 British pounds. So, 3 multiplied by 4 equals 12 British pounds.Next, I'll calculate the cost of the postcards. She is purchasing 2 postcards, each priced at 2 British pounds. Therefore, 2 multiplied by 2 equals 4 British pounds.Adding the cost of the keychains and postcards together, the total expenditure on souvenirs is 12 plus 4, which equals 16 British pounds.Yuki has a budget of 20 British pounds. Subtracting the 16 pounds spent on souvenirs leaves her with 4 British pounds.After buying the souvenirs, she decides to purchase a British snack costing 3 British pounds. Subtracting this from the remaining 4 pounds, Yuki has 1 British pound left.Therefore, Yuki has 1 British pound remaining after all her purchases.
question：Last month, you borrowed 100 from your friend. If you promise to pay her today, how much will you give to your friend if both of you agreed to return the money with a 10% increase?
answer：First, I need to determine the amount to be returned to the friend, which includes a 10% increase on the borrowed amount of 100.To calculate the increase, I multiply 100 by 10%, which is 10.Adding this increase to the original amount, the total to be returned is 100 plus 10, totaling 110.
question：A genealogist named Jens is researching his Danish ancestry. He discovers that his great-great-grandparents had 8 children, and each of those children had an average of 3 children. Jens also finds out that each of these grandchildren had 4 children on average. How many great-great-grandchildren did Jens's great-great-grandparents have?
answer：First, I need to determine the number of great-great-grandchildren Jens's great-great-grandparents have. Starting with the initial generation, Jens's great-great-grandparents had 8 children.Each of these 8 children had an average of 3 children, so the total number of grandchildren is 8 multiplied by 3, which equals 24.Next, each of these 24 grandchildren had an average of 4 children. Therefore, the total number of great-grandchildren is 24 multiplied by 4, resulting in 96.Thus, Jens's great-great-grandparents have 96 great-great-grandchildren.
question：The CEO of RoboTech, a cutting-edge robotics company, is passionate about showcasing the benefits of advanced robotics. During a press conference, the CEO highlights how their latest robot model has improved production efficiency at a factory. Before the robots were introduced, the factory produced 150 gadgets per hour. After implementing the robots, the production increased by 40%. If the factory operates 8 hours a day, how many more gadgets does the factory produce in a day with the robots compared to before?
answer：First, I need to determine the increase in production efficiency. The factory initially produced 150 gadgets per hour, and with the robots, there's a 40% increase.Calculating 40% of 150 gives me 60 additional gadgets per hour. This means the new production rate is 150 plus 60, which equals 210 gadgets per hour.Next, I'll calculate the daily production before and after the robots were introduced. The factory operates for 8 hours each day.Before the robots, the daily production was 150 gadgets per hour multiplied by 8 hours, totaling 1,200 gadgets.With the robots, the daily production is 210 gadgets per hour multiplied by 8 hours, resulting in 1,680 gadgets.Finally, to find out how many more gadgets are produced each day with the robots, I subtract the original daily production from the new daily production: 1,680 minus 1,200 equals 480 additional gadgets per day.