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question：María, a retired female wrestler who represented Spain in international competitions, has decided to start a wrestling school for young athletes. She plans to offer three different classes each week: beginner, intermediate, and advanced. Each class can accommodate up to 15 students. María wants to ensure that she can give personalized attention to her students, so she decides to limit the total number of students she teaches in a single week to 40. If the beginner class has 10 students, the intermediate class has 12 students, how many students can she enroll in the advanced class without exceeding her limit for the week?
answer：First, I'll identify the total number of students María wants to teach in a week, which is 40.Next, I'll note the number of students in the beginner and intermediate classes. The beginner class has 10 students, and the intermediate class has 12 students.To find out how many students can be enrolled in the advanced class without exceeding the limit, I'll subtract the number of students in the beginner and intermediate classes from the total limit.So, 40 (total) minus 10 (beginner) minus 12 (intermediate) equals 18 students for the advanced class.This means María can enroll 18 students in the advanced class while staying within her weekly limit.
question：General Thompson, a retired army general, is giving a lecture about the importance of maintaining a strong defense. He explains that during his service, his unit was responsible for securing a 120-mile border. Each day, his team managed to cover 1/4 of the border's length on foot patrols, and the rest was covered by vehicles. If the entire border was covered once each day, how many miles did the vehicles cover daily?
answer：First, I need to determine the total length of the border, which is 120 miles.Next, I'll calculate the portion of the border covered by foot patrols. Since the foot patrols cover 1/4 of the border each day, I'll multiply 120 miles by 1/4 to find the distance covered on foot.Finally, to find out how many miles the vehicles cover daily, I'll subtract the miles covered by foot patrols from the total border length. This will give me the distance covered by vehicles each day.
question：A data analyst is studying corruption patterns in three regions: North, South, and East. In the North region, there were 120 reported cases of corruption last month. The South region had twice as many cases as the North, while the East region had 30 fewer cases than the South. The data analyst predicts that next month, the number of cases in each region will increase by 10%. Calculate the total number of corruption cases expected next month across all three regions.
answer：First, I need to determine the number of corruption cases in each region for last month.The North region reported 120 cases.The South region had twice as many cases as the North, so that's 2 multiplied by 120, which equals 240 cases.The East region had 30 fewer cases than the South. Therefore, subtracting 30 from 240 gives 210 cases for the East.Next, I'll calculate the expected increase for each region. The data analyst predicts a 10% increase in cases for each region.For the North, a 10% increase on 120 cases is 12 cases, making the total 132 cases.For the South, a 10% increase on 240 cases is 24 cases, resulting in 264 cases.For the East, a 10% increase on 210 cases is 21 cases, leading to 231 cases.Finally, I'll sum the expected cases for all three regions to find the total number of corruption cases next month.Adding 132 (North) + 264 (South) + 231 (East) equals 627 cases in total.
question：A diligent graduate student is conducting research on machine learning algorithms for semantic data processing. She is experimenting with a dataset that consists of 120 documents. Each document needs to be processed by three different algorithms: A, B, and C. It takes Algorithm A 2 minutes to process each document, Algorithm B 3 minutes, and Algorithm C 4 minutes. If she can run all three algorithms simultaneously on her computer, how much total time, in minutes, will she need to process all 120 documents using all three algorithms?
answer：First, I need to determine the total processing time for each algorithm individually. Algorithm A takes 2 minutes per document, Algorithm B takes 3 minutes, and Algorithm C takes 4 minutes.Next, since all three algorithms can run simultaneously, the total time required will be determined by the algorithm that takes the longest time to process all 120 documents. This is because the other algorithms will finish processing before the slowest one.Calculating the total time for each algorithm:- Algorithm A: 2 minutes/document × 120 documents = 240 minutes- Algorithm B: 3 minutes/document × 120 documents = 360 minutes- Algorithm C: 4 minutes/document × 120 documents = 480 minutesAmong these, Algorithm C takes the longest time at 480 minutes. Therefore, the total time needed to process all 120 documents using all three algorithms simultaneously is 480 minutes.
question：Una, the journalist specializing in J-Pop music and idol groups in Japan, is attending a concert featuring three popular J-Pop idol groups: Group A, Group B, and Group C. Each group has a different number of members. Group A has 7 members, Group B has 5 members, and Group C has 9 members. After the concert, Una wants to write an article about the total number of performers she saw on stage. Additionally, she noticed that each group performed 3 songs, and each song lasted an average of 4 minutes.Calculate the total number of performers Una saw on stage and the total number of minutes of music performed during the concert.
answer：First, I need to determine the total number of performers Una saw on stage. Each group has a different number of members: Group A has 7 members, Group B has 5 members, and Group C has 9 members. Adding these together will give the total number of performers.Next, I need to calculate the total duration of the music performed during the concert. Each group performed 3 songs, and each song lasted an average of 4 minutes. I'll multiply the number of songs by the duration per song to find the total minutes of music for each group, and then sum these totals to get the overall duration.
question：The pragmatic university chancellor is working on a plan to improve the university's reputation by securing funding for new research facilities. The chancellor manages to secure 5 million in funding from a government grant, 2 million from alumni donations, and 1.5 million from a corporate sponsorship. The chancellor decides to allocate 40% of the total funds for building new research labs, 30% for upgrading existing facilities, and the remaining amount for hiring new faculty members. How much money will be allocated to each category: new research labs, upgrading facilities, and hiring new faculty members?
answer：First, I need to determine the total amount of funding the university has received. The chancellor secured 5 million from a government grant, 2 million from alumni donations, and 1.5 million from a corporate sponsorship. Adding these together gives a total of 8.5 million.Next, I'll calculate how much of this total will be allocated to each category. The chancellor has decided to allocate 40% for new research labs, 30% for upgrading existing facilities, and the remaining percentage for hiring new faculty members.For the new research labs, 40% of 8.5 million is calculated by multiplying 8.5 million by 0.40, which equals 3.4 million.For upgrading existing facilities, 30% of 8.5 million is found by multiplying 8.5 million by 0.30, resulting in 2.55 million.Finally, the remaining percentage for hiring new faculty members is 100% minus 40% and 30%, which is 30%. Calculating 30% of 8.5 million by multiplying 8.5 million by 0.30 gives 2.55 million.Therefore, the allocations are 3.4 million for new research labs, 2.55 million for upgrading facilities, and 2.55 million for hiring new faculty members.