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question：Alex and Jamie are two friends who share a passion for coding and electronic music production. They decide to collaborate on a project where they will code a new music app and produce an electronic soundtrack for it. Alex codes at a speed of 20 lines of code per hour, while Jamie codes at a speed of 15 lines of code per hour. Together, they need to write a total of 280 lines of code for the app. After completing the coding, they plan to produce 4 tracks of electronic music, each track taking 3 hours to produce. If Alex and Jamie work together on coding for 5 hours, how many more hours will they need to work together to finish both the coding and the music production for the project?
answer：First, I need to determine how many lines of code Alex and Jamie can write together in one hour. Alex writes 20 lines per hour and Jamie writes 15 lines per hour, so together they write 35 lines per hour.Next, I'll calculate how many lines they complete in the initial 5 hours of coding. Multiplying 35 lines per hour by 5 hours gives them 175 lines of code.Subtracting this from the total required 280 lines, they still need to write 105 lines of code. Dividing 105 lines by their combined rate of 35 lines per hour, they need an additional 3 hours to finish the coding.After completing the coding, they plan to produce 4 tracks, with each track taking 3 hours. This means they need 12 hours for music production.Finally, adding the additional 3 hours of coding to the 12 hours of music production, they will need a total of 15 more hours to finish the entire project.
question：Jamie is a victim of medical malpractice and is consulting with a lawyer about their options under tort law. During the first meeting, the lawyer explains the costs involved. The consultation fee is 150, and if Jamie decides to pursue the case, the lawyer will charge 20% of any settlement amount as their fee. Jamie is hoping to receive a settlement of 50,000. How much will Jamie pay the lawyer in total if they win the case and receive the settlement they are hoping for?
answer：First, I need to calculate the lawyer's fee based on the 20% contingency rate of the settlement amount.Next, I'll determine the total amount Jamie will pay the lawyer by adding the initial consultation fee to the contingency fee.Finally, I'll present the total amount Jamie will pay the lawyer if they win the case and receive the 50,000 settlement.
question：The collection manager at an international cultural exchange organization is responsible for organizing exhibitions that showcase artifacts from different countries. For an upcoming exhibition, the manager is tasked with displaying 5 artifacts from each of 8 different countries. However, due to space limitations, the manager can only display 3 artifacts from each country. If the manager has already decided on 2 artifacts from each country to display and needs to choose one more artifact from each country, how many more artifacts does the manager need to select in total to complete the exhibition?
answer：First, I need to determine the total number of artifacts required for the exhibition. Since there are 8 countries and each country needs to display 3 artifacts, the total number of artifacts needed is 8 multiplied by 3, which equals 24 artifacts.Next, I'll calculate how many artifacts the manager has already selected. The manager has chosen 2 artifacts from each of the 8 countries, so that's 8 multiplied by 2, totaling 16 artifacts.To find out how many more artifacts the manager needs to select, I'll subtract the number of artifacts already chosen from the total number required. That is, 24 minus 16, which equals 8 artifacts.Therefore, the manager needs to select 8 more artifacts to complete the exhibition.
question：A skeptical individual who loves listening to a podcast host dedicated to exposing misinformation decides to track how much time they spend listening to the podcast each week. Each episode is 45 minutes long, and they listen to 3 episodes per week. To further investigate misinformation, they also spend an additional 20 minutes researching online for each episode they listen to. How many total minutes does the individual spend on both listening to the podcast and researching each week?
answer：First, calculate the total time spent listening to the podcast each week by multiplying the number of episodes per week by the duration of each episode.Next, determine the total time spent researching by multiplying the number of episodes per week by the additional research time per episode.Finally, add the total listening time and the total research time to find the overall time spent on both activities each week.
question：Dr. Starry, the astrophysicist, is studying two cosmic-scale phenomena: the number of stars in a galaxy and the number of galaxies in the observable universe. She finds that on average, a galaxy contains about 100 billion stars. Additionally, scientists estimate there are roughly 2 trillion galaxies in the observable universe. Dr. Starry wants to calculate the total number of stars in the observable universe to gain deeper insights about the universe's vastness. How many stars are there in total?
answer：First, I need to determine the total number of stars in the observable universe by multiplying the average number of stars in a galaxy by the total number of galaxies.Dr. Starry provided that each galaxy contains approximately 100 billion stars, which is 100,000,000,000 stars.The observable universe is estimated to have about 2 trillion galaxies, which is 2,000,000,000,000 galaxies.To find the total number of stars, I multiply these two numbers: 100,000,000,000 stars/galaxy multiplied by 2,000,000,000,000 galaxies.This calculation results in 200,000,000,000,000,000,000 stars, which is 2 followed by 21 zeros.
question：A community liaison officer is organizing town hall meetings and has received 240 citizen complaints that need to be addressed. She decides to hold 4 meetings, with an equal number of complaints to be discussed at each meeting. Additionally, she plans to invite 3 local officials to each meeting. If each official can address 10 complaints per meeting, how many complaints in total will still need to be handled by the liaison officer after all the meetings?
answer：First, I need to determine how many complaints will be addressed at each meeting. Since there are 240 complaints and 4 meetings, each meeting will handle 240 divided by 4, which equals 60 complaints per meeting.Next, I'll calculate the total number of complaints that can be addressed by the local officials. There are 3 officials at each meeting, and each can address 10 complaints. So, each meeting can handle 3 multiplied by 10, which is 30 complaints. Over 4 meetings, the officials can address 30 multiplied by 4, totaling 120 complaints.Finally, to find out how many complaints are left for the liaison officer, I'll subtract the number of complaints addressed by the officials from the total number of complaints. That is 240 minus 120, which equals 120 complaints. Therefore, the liaison officer will need to handle 120 complaints after all the meetings.