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question：Mr. Smith, a conservative republican lawyer from Kentucky, is organizing a community event to discuss legal opinions related to the U.S. Supreme Court decisions, including one he disagrees with: Lawrence v. Texas. He plans to invite 120 people to the event. He estimates that 40% of the people he invites will be fellow lawyers, and the rest will be community members. If each lawyer donates 50 to cover the event expenses and each community member donates 20, how much money will Mr. Smith collect in total from the donations?
answer：First, I need to determine how many lawyers and community members are attending the event. Mr. Smith is inviting a total of 120 people, with 40% being lawyers and 60% being community members.Calculating the number of lawyers:40% of 120 is 0.40 multiplied by 120, which equals 48 lawyers.Calculating the number of community members:60% of 120 is 0.60 multiplied by 120, which equals 72 community members.Next, I'll calculate the total donations from each group. Each lawyer donates 50, and each community member donates 20.Total donations from lawyers:48 lawyers multiplied by 50 equals 2,400.Total donations from community members:72 community members multiplied by 20 equals 1,440.Finally, I'll add the donations from both groups to find the total amount collected.Total donations:2,400 (from lawyers) plus 1,440 (from community members) equals 3,840.
question：Alex is very passionate about sharing information and often has lively discussions with others about his views on vaccines. Last week, he attended a community event where he spoke with 15 people. During each conversation, he spent about 12 minutes discussing his views. Afterward, he decided to hand out informational pamphlets to a larger group. If he handed out 3 pamphlets to each person he spoke with, and then gave an additional 2 pamphlets to each of 8 other people he met at the event, how many pamphlets did Alex distribute in total?
answer：First, I need to determine how many people Alex spoke with during the event. According to the information, Alex spoke with 15 people.Next, I'll calculate the number of pamphlets he gave to these individuals. Since he handed out 3 pamphlets to each person he spoke with, the total number of pamphlets distributed during these conversations is 15 multiplied by 3, which equals 45 pamphlets.Additionally, Alex gave pamphlets to 8 other people he met at the event. He provided 2 pamphlets to each of these individuals, so the total number of pamphlets given to this group is 8 multiplied by 2, totaling 16 pamphlets.Finally, to find the overall number of pamphlets Alex distributed, I'll add the pamphlets given to the people he spoke with and those he met afterward. Adding 45 pamphlets and 16 pamphlets gives a total of 61 pamphlets distributed.
question：In the upscale neighborhood where a wealthy socialite resides, there are 10 luxurious homes on Elm Street. The average price of a home on Elm Street is 2 million. Recently, the socialite shared that 3 new homes have been built, each priced at 2.5 million. What is the new average price of all the homes on Elm Street after the addition of these 3 new homes?
answer：First, I need to determine the total value of the original 10 homes on Elm Street. Since the average price is 2 million, the total value is 10 multiplied by 2 million, which equals 20 million.Next, I'll calculate the total value of the 3 new homes. Each new home is priced at 2.5 million, so the total value for these homes is 3 multiplied by 2.5 million, resulting in 7.5 million.Now, I'll find the combined total value of all 13 homes by adding the original total value and the new total value: 20 million plus 7.5 million equals 27.5 million.Finally, to find the new average price per home, I'll divide the combined total value by the total number of homes, which is 13. So, 27.5 million divided by 13 equals approximately 2.115 million.
question：A curator at a renowned museum is planning an exclusive exhibit visit for a parent and their child. The museum has 5 special exhibits, and the curator wants the visitors to spend an equal amount of time at each exhibit. The entire visit is scheduled to last 2 hours. However, the curator also plans a 20-minute introduction session and a 10-minute wrap-up discussion at the end. How many minutes should the parent and child spend at each of the 5 exhibits to fit the entire schedule into 2 hours?
answer：First, I need to determine the total time allocated for the visit, which is 2 hours. Converting this to minutes gives 120 minutes.Next, I'll account for the additional sessions: a 20-minute introduction and a 10-minute wrap-up discussion. Adding these together, the total time for these sessions is 30 minutes.Subtracting the additional sessions from the total visit time, the remaining time available for the exhibits is 120 minutes minus 30 minutes, which equals 90 minutes.Since there are 5 exhibits, I'll divide the remaining 90 minutes by 5 to find out how much time should be spent at each exhibit. This calculation results in 18 minutes per exhibit.
question：Professor Almeida is preparing for a lecture on the history of Lusophone Africa. She plans to talk about five countries: Angola, Mozambique, Guinea-Bissau, Cape Verde, and São Tomé and Príncipe. For her presentation, she wants to allocate time to each country based on the number of years they have been independent. Angola gained independence in 1975, Mozambique in 1975, Guinea-Bissau in 1973, Cape Verde in 1975, and São Tomé and Príncipe in 1975. If her entire presentation is 100 minutes long and she wants to distribute the minutes proportionally based on how long each country has been independent as of the year 2023, how many minutes should she allocate to each country?
answer：First, I need to determine how many years each country has been independent as of 2023.Angola, Mozambique, Guinea-Bissau, Cape Verde, and São Tomé and Príncipe gained independence in 1975, 1975, 1973, 1975, and 1975 respectively. Calculating the years of independence:- Angola: 2023 - 1975 = 48 years- Mozambique: 2023 - 1975 = 48 years- Guinea-Bissau: 2023 - 1973 = 50 years- Cape Verde: 2023 - 1975 = 48 years- São Tomé and Príncipe: 2023 - 1975 = 48 yearsNext, I'll sum up all the years to find the total years of independence:48 + 48 + 50 + 48 + 48 = 242 yearsNow, I'll calculate the proportion of each country's independence years relative to the total:- Angola: 48 / 242 ≈ 0.198- Mozambique: 48 / 242 ≈ 0.198- Guinea-Bissau: 50 / 242 ≈ 0.206- Cape Verde: 48 / 242 ≈ 0.198- São Tomé and Príncipe: 48 / 242 ≈ 0.198Finally, I'll apply these proportions to the total presentation time of 100 minutes to determine the minutes allocated to each country:- Angola: 0.198 * 100 ≈ 19.8 minutes- Mozambique: 0.198 * 100 ≈ 19.8 minutes- Guinea-Bissau: 0.206 * 100 ≈ 20.6 minutes- Cape Verde: 0.198 * 100 ≈ 19.8 minutes- São Tomé and Príncipe: 0.198 * 100 ≈ 19.8 minutesRounding to the nearest whole number, the allocation would be:- Angola: 20 minutes- Mozambique: 20 minutes- Guinea-Bissau: 21 minutes- Cape Verde: 20 minutes- São Tomé and Príncipe: 20 minutes
question：Alex, a political analyst, is preparing a report analyzing election results. He compares the number of votes in two counties, County A and County B, to emphasize the importance of evidence-based analysis over baseless speculation. In County A, there were 2,450 votes, while County B had 3,610 votes. To illustrate the difference clearly, Alex decides to calculate the total number of votes and the average number of votes per county. First, calculate the total number of votes in both counties combined. Then, find the average number of votes per county. What is the total number of votes, and what is the average number of votes per county?
answer：First, I need to determine the total number of votes in both County A and County B combined. To do this, I'll add the number of votes from County A to the number of votes from County B.Next, to find the average number of votes per county, I'll take the total number of votes and divide it by the number of counties, which is 2 in this case.By performing these calculations, I'll be able to provide both the total votes and the average votes per county as requested.