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question：A bakery needs to bake 12 batches of cookies. Each batch of cookies takes 30 minutes to prepare and 25 minutes to bake. How long, in hours, will it take to complete the baking of all the batches of cookies?
answer：First, I need to determine the total time required to prepare and bake all 12 batches of cookies. Each batch takes 30 minutes to prepare and 25 minutes to bake.I'll start by calculating the total preparation time by multiplying the number of batches by the preparation time per batch: 12 batches × 30 minutes = 360 minutes.Next, I'll calculate the total baking time by multiplying the number of batches by the baking time per batch: 12 batches × 25 minutes = 300 minutes.Then, I'll add the total preparation time and the total baking time to find the overall time needed: 360 minutes + 300 minutes = 660 minutes.Finally, to convert the total time from minutes to hours, I'll divide by 60: 660 minutes ÷ 60 = 11 hours.
question：Oliver is a British citizen who is interested in learning about his country's history, even though he knows very little about British legal history. He decides to visit the British Museum to learn more. At the museum, he finds that there are 15 galleries dedicated to different aspects of British history. Each gallery has 8 exhibits, and every exhibit takes approximately 5 minutes to explore. If Oliver plans to visit every exhibit in all the galleries, how much total time, in minutes, will he spend exploring the exhibits?
answer：First, I need to determine the total number of exhibits Oliver will visit. There are 15 galleries, and each gallery has 8 exhibits. So, multiplying the number of galleries by the number of exhibits per gallery gives the total number of exhibits.Next, I know that each exhibit takes approximately 5 minutes to explore. To find the total time Oliver will spend, I multiply the total number of exhibits by the time spent per exhibit.By performing these calculations, I can find out the total time Oliver will spend exploring all the exhibits.
question：Jessica is an entrepreneur who runs a late-night coffee shop that caters to software engineers and other night owls. On a typical evening, she sells 120 cups of regular coffee and 80 cups of specialty coffee. Each cup of regular coffee costs 3, and each cup of specialty coffee costs 5. If she wants to offer a 10% discount on all coffee sales for a special "night owl" promotion, how much total revenue will Jessica earn from coffee sales that evening after applying the discount?
answer：First, I need to calculate the total revenue from regular coffee sales. Jessica sells 120 cups of regular coffee at 3 each, which amounts to 360.Next, I'll calculate the total revenue from specialty coffee sales. She sells 80 cups of specialty coffee at 5 each, totaling 400.Adding both revenues together gives the total sales before the discount: 360 + 400 = 760.Jessica is offering a 10% discount on all coffee sales. To find the discount amount, I'll calculate 10% of 760, which is 76.Finally, I'll subtract the discount from the total sales to find the total revenue after the promotion: 760 - 76 = 684.
question：Jamie, a classmate who has organized a school-wide charity event to raise funds for clean water initiatives, wants to distribute the total funds raised equally among 5 different clean water projects. During the event, the school raised a total of 750. In addition, Jamie's parents donated an extra 50 towards the initiative. How much money will each clean water project receive?
answer：First, I need to determine the total amount of money raised for the clean water projects. This includes both the funds raised during the school event and the additional donation from Jamie's parents.The school raised 750 during the event, and Jamie's parents donated an extra 50. Adding these together gives a total of 800.Next, this total amount needs to be distributed equally among the 5 clean water projects. To find out how much each project will receive, I divide the total amount by the number of projects.So, 800 divided by 5 equals 160. Therefore, each clean water project will receive 160.
question：Alex is a technology analyst who is studying the energy efficiency of data centers. He is analyzing a new innovation that reduces the energy consumption of servers by 15%. Alex is evaluating a data center that originally consumed 10,000 kilowatt-hours (kWh) of energy per day. After implementing the new innovation, the data center also adds 50 new servers, each consuming 2 kWh per day. What is the new total daily energy consumption of the data center after these changes?
answer：First, I need to calculate the energy reduction from the new innovation. The original daily consumption is 10,000 kWh, and the innovation reduces this by 15%. So, 15% of 10,000 kWh is 1,500 kWh. Subtracting this from the original consumption gives a reduced consumption of 8,500 kWh.Next, I need to account for the additional energy used by the 50 new servers. Each server consumes 2 kWh per day, so 50 servers consume 100 kWh daily.Finally, I add the reduced consumption to the additional consumption to find the new total daily energy consumption: 8,500 kWh + 100 kWh = 8,600 kWh.
question：Alex is a doctoral candidate who is developing a new mobile application to help people manage their daily water intake for better health. During the testing phase, Alex wants to ensure that the app can calculate the total amount of water a user should drink in a week based on their daily routine. The app suggests drinking 8 glasses of water per day, with each glass holding 250 milliliters of water. On weekends, the app recommends increasing the intake by 2 additional glasses per day. Calculate the total amount of water, in liters, a user should drink from Monday to Sunday according to the app's recommendations.
answer：First, I need to determine the daily water intake for weekdays and weekends.On weekdays (Monday to Friday), the app suggests drinking 8 glasses of water each day. Each glass holds 250 milliliters. So, the total for weekdays is 5 days multiplied by 8 glasses, which equals 40 glasses. Converting this to liters, 40 glasses multiplied by 0.25 liters per glass gives 10 liters.On weekends (Saturday and Sunday), the app recommends increasing the intake by 2 additional glasses per day, making it 10 glasses per day. For 2 days, that's 20 glasses. Converting to liters, 20 glasses multiplied by 0.25 liters per glass equals 5 liters.Finally, I add the weekday and weekend totals together: 10 liters plus 5 liters equals 15 liters. Therefore, the total amount of water a user should drink from Monday to Sunday is 15 liters.