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question：A renowned playwright writes 3 plays each year. Occasionally, they co-write scripts with a director, producing an additional 2 scripts each year. This year, the playwright plans to push the boundaries of gender representation by creating gender-neutral characters in half of all the scripts they work on. How many scripts will feature gender-neutral characters this year?
answer：First, I need to determine the total number of scripts the playwright is working on this year. They write 3 plays each year and also co-write 2 additional scripts with a director. Adding these together gives a total of 5 scripts.Next, the playwright plans to create gender-neutral characters in half of all the scripts they work on. To find out how many scripts this represents, I calculate half of the total number of scripts. Half of 5 is 2.5. Since the number of scripts must be a whole number, I round this up to 3.Therefore, the playwright will feature gender-neutral characters in 3 scripts this year.
question：Lena is a sound artist based in Vienna who is inspired by avant-garde artistic movements. She is working on a new project that involves creating an audio installation using unique sound patterns. For her installation, Lena plans to use 5 different types of sound instruments that each produce a distinct sound.Lena decides that each instrument will play a sequence of sounds that lasts 4 minutes. She plans to overlap the sequences so that the first sequence starts at minute 0, the second at minute 2, the third at minute 4, and so on. This overlapping will continue until all sequences have played at least once.If Lena wants the entire installation to last exactly 20 minutes, how many total sequences does she need to play, including all overlaps?
answer：First, I need to understand the setup of Lena's audio installation. She has 5 different sound instruments, each producing a distinct sound. Each instrument plays a sequence that lasts 4 minutes. The sequences are overlapped such that the first sequence starts at minute 0, the second at minute 2, the third at minute 4, and so on.The goal is to determine how many total sequences Lena needs to play so that the entire installation lasts exactly 20 minutes.I'll start by analyzing the timing of the sequences. Each new sequence begins every 2 minutes. This means that the start times of the sequences are at minutes 0, 2, 4, 6, and so on.Since each sequence lasts 4 minutes, the end time of each sequence is 4 minutes after its start time. For example, the first sequence ends at minute 4, the second at minute 6, and so forth.To find out how many sequences are needed for the installation to last 20 minutes, I'll set up an equation. Let ( n ) represent the number of sequences. The last sequence starts at minute ( 2(n - 1) ) and ends at minute ( 2(n - 1) + 4 ).We want the installation to end exactly at minute 20. Therefore, the end time of the last sequence should be equal to 20 minutes:[2(n - 1) + 4 = 20]Solving for ( n ):[2n - 2 + 4 = 20 2n + 2 = 20 2n = 18 n = 9]So, Lena needs to play a total of 9 sequences to ensure that the installation lasts exactly 20 minutes.
question：Jamie is a military spouse who supports their partner, Alex, in capturing the stories of military personnel. Alex plans to interview 5 military personnel each week and write an article about each one. Jamie helps Alex by proofreading these articles. If each article takes Jamie 1 hour to proofread, how many hours will Jamie spend proofreading articles over the course of 4 weeks?
answer：First, I need to determine the number of articles Jamie will proofread each week. Alex plans to interview 5 military personnel each week and write an article about each one, resulting in 5 articles per week.Next, I know that Jamie spends 1 hour proofreading each article. Therefore, for 5 articles each week, Jamie will spend 5 hours per week.To find out the total number of hours Jamie will spend over 4 weeks, I multiply the weekly proofreading time by the number of weeks: 5 hours/week * 4 weeks = 20 hours.
question：Maria is a Bolivian university student who is eager to practice English and learn about life in the United States. She decides to write a letter to her American pen pal, John, who lives in New York City. Maria is curious about the cost of living in New York compared to La Paz, where she studies. She learns that the average monthly rent for a small apartment in New York City is about 3,500, while in La Paz, the average monthly rent is around 350. Maria also discovers that the cost of a monthly public transportation pass in New York is about 127, while in La Paz, it is about 70 Bolivianos (about 10).Maria wants to find out how much more expensive living in New York City is compared to La Paz in terms of rent and transportation for a month. Calculate the total difference in cost for one month between living in New York City and La Paz, considering both rent and transportation expenses.
answer：First, I need to calculate the monthly rent difference between New York City and La Paz. The rent in New York is 3,500, and in La Paz, it's 350. Subtracting the two gives a rent difference of 3,150.Next, I'll determine the monthly transportation cost difference. In New York, a public transportation pass costs 127, while in La Paz, it's approximately 10. The difference in transportation costs is 117.Finally, to find the total difference in cost for one month, I'll add the rent difference and the transportation difference together. This results in a total difference of 3,267.
question：A seasoned news anchor is preparing for a day of reporting breaking news. She starts her day at 6:00 AM. By 7:30 AM, she has reported 3 breaking news stories, each taking 15 minutes. At 9:00 AM, she receives additional news and reports 5 more stories, each taking 12 minutes. After a quick break, she reports 2 more stories, spending 20 minutes on each, finishing her last report just before her noon lunch break. How many minutes did she spend reporting news stories before lunch?
answer：First, calculate the time spent reporting news stories in each session.From 6:00 AM to 7:30 AM, she reported 3 stories, each taking 15 minutes. So, 3 stories × 15 minutes = 45 minutes.At 9:00 AM, she reported 5 more stories, each taking 12 minutes. So, 5 stories × 12 minutes = 60 minutes.After a quick break, she reported 2 more stories, each taking 20 minutes. So, 2 stories × 20 minutes = 40 minutes.Finally, add up the time spent in all reporting sessions: 45 minutes + 60 minutes + 40 minutes = 145 minutes.
question：A college focused on studying law and implementing changes in the criminal justice system is organizing a series of workshops. Each workshop is designed to improve understanding of different areas of criminal law, and they plan to hold workshops over a 5-day event.On each day, the college plans to conduct 4 workshops. Each workshop can accommodate 30 participants. If the college expects full attendance for every workshop throughout the event, how many participants will attend the workshops in total over the 5-day period?
answer：First, I need to determine the total number of workshops conducted over the 5-day event. Since there are 4 workshops each day, the total number of workshops is 4 multiplied by 5, which equals 20 workshops.Next, each workshop can accommodate 30 participants. To find the total number of participants over the entire event, I multiply the number of workshops by the number of participants per workshop. Therefore, 20 workshops multiplied by 30 participants per workshop equals 600 participants.Thus, the total number of participants attending the workshops over the 5-day period is 600.