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question：A minimalist interior designer is helping their partner organize a Hellboy comic book collection. They have 30 Hellboy comic books, and they want to display them on a stylish shelf with 5 equal sections. How many comic books will be placed in each section if they want to distribute them equally? If they decide to display only 4 comic books in each section to keep it minimalistic and organized, how many comic books will remain undisplayed?
answer：First, I need to determine how many comic books will be placed in each of the 5 sections if they are distributed equally. Since there are 30 comic books, I divide 30 by 5, which gives 6 comic books per section.Next, if they decide to display only 4 comic books in each section, I calculate the total number of comic books that will be displayed by multiplying 4 by 5, resulting in 20 comic books. To find out how many comic books will remain undisplayed, I subtract the displayed number from the total, which is 30 minus 20, leaving 10 comic books undisplayed.
question：Alex is a technologist and advocate for open source software who is consulting with the City Museum for a digitization project. The museum has a collection of 1,200 paintings and 800 sculptures that need to be digitized. Alex estimates that each painting takes 3 hours to digitize, and each sculpture takes 4 hours. Alex has a team of 5 people working 8 hours a day, 5 days a week.1. How many total hours are required to digitize all the paintings?2. How many total hours are required to digitize all the sculptures?3. What is the total number of hours Alex's team can work in a week?4. How many weeks will it take Alex's team to complete the digitization of both paintings and sculptures, assuming they work at full capacity?Use the answers from each question to determine how long the digitization project will take.
answer：First, I need to calculate the total hours required to digitize all the paintings. There are 1,200 paintings, and each painting takes 3 hours to digitize. So, multiplying the number of paintings by the time per painting gives the total hours for paintings.Next, I'll determine the total hours needed for the sculptures. There are 800 sculptures, and each sculpture takes 4 hours to digitize. Multiplying the number of sculptures by the time per sculpture will provide the total hours for sculptures.Then, I'll calculate the total number of hours Alex's team can work in a week. The team consists of 5 people, each working 8 hours a day for 5 days a week. Multiplying the number of team members by the daily hours and the number of working days will give the weekly capacity.Finally, to find out how many weeks it will take to complete the entire digitization project, I'll add the total hours for paintings and sculptures together and then divide by the team's weekly capacity. This will provide the total number of weeks needed to finish the project.
question：A conservative lobbyist is advocating for a shift in funding from prison programs to more punitive measures. Currently, a state allocates 12 million annually to prison rehabilitation programs and 8 million to punitive measures. The lobbyist proposes to cut the rehabilitation program budget by 40% and to increase the punitive measures budget by 50%. What will be the new total budget for both the rehabilitation programs and punitive measures together after these changes?
answer：First, I need to determine the current budget allocations. The state currently spends 12 million on rehabilitation programs and 8 million on punitive measures.Next, I'll calculate the proposed changes. The lobbyist suggests cutting the rehabilitation budget by 40%, which means the new rehabilitation budget will be 60% of the original 12 million. Additionally, the punitive measures budget is proposed to increase by 50%, making the new punitive budget 150% of the original 8 million.After calculating the new amounts for both programs, I'll sum them up to find the total new budget.
question：Dr. Emily, a veterinary geneticist, is working on a project to revolutionize horse breeding. She has identified a unique genetic marker that can potentially enhance the speed of a racehorse. She is currently working with 5 different horse breeds. For each breed, she can test 3 different genetic combinations. If each genetic test takes her 2 hours to complete, how many hours will Dr. Emily spend testing all the combinations for all the breeds?
answer：First, I need to determine the total number of genetic combinations Dr. Emily is testing. She is working with 5 different horse breeds and can test 3 different genetic combinations for each breed. To find the total number of combinations, I multiply the number of breeds by the number of combinations per breed:5 breeds × 3 combinations per breed = 15 combinations.Next, I need to calculate the total time Dr. Emily will spend on these tests. Each genetic test takes 2 hours to complete. So, I multiply the total number of combinations by the time per test:15 combinations × 2 hours per combination = 30 hours.Therefore, Dr. Emily will spend a total of 30 hours testing all the genetic combinations for all the breeds.
question：Maria had 360 candies in a jar. She gave 1/4 of the total candies to her sister, and then her brother took 2/3 of the remaining candies. What percentage of the original candies is left?
answer：First, I need to determine how many candies Maria gave to her sister. Since she gave away 1/4 of the total 360 candies, I calculate 1/4 of 360, which is 90 candies.Next, I'll find out how many candies are left after giving 90 to her sister. Subtracting 90 from 360 gives me 270 candies remaining.Then, Maria's brother took 2/3 of the remaining 270 candies. Calculating 2/3 of 270 results in 180 candies taken by her brother.Finally, to find out how many candies are left after her brother took his share, I subtract the 180 candies from the remaining 270. This leaves Maria with 90 candies.To express this as a percentage of the original 360 candies, I divide the remaining 90 by 360 and multiply by 100, which equals 25%. Therefore, 25% of the original candies are left.
question：Lily is a blanket-maker. She uses 2 more than 4 yards of soft fleece material to make each blanket. If Lily has five rolls of soft fleece material, each roll containing 100 yards of material, how many blankets can she make?
answer：First, I need to determine how much material Lily uses for each blanket. The problem states she uses 2 more than 4 yards, which means she uses 6 yards per blanket.Next, I'll calculate the total amount of material Lily has. She has five rolls, each containing 100 yards, so that's 5 multiplied by 100, totaling 500 yards.Finally, to find out how many blankets she can make, I'll divide the total material by the material used per blanket. Dividing 500 yards by 6 yards per blanket gives approximately 83.333. Since Lily can't make a fraction of a blanket, she can make 83 complete blankets.