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question：Carlos is a radio sports commentator from El Salvador. He covers football matches in his local league and is preparing some statistics for his next broadcast. In one week, Carlos covers 3 football matches. During the first match, there are 24 goals scored. In the second match, there are 18 goals scored, and in the third match, there are 22 goals scored. Carlos wants to calculate the average number of goals scored per match for his broadcast. Can you help Carlos find the average number of goals scored in the matches he covered that week?
answer：First, I need to determine the total number of goals scored across all three matches. I'll add the goals from each match: 24 from the first match, 18 from the second, and 22 from the third. This gives a total of 64 goals.Next, to find the average number of goals per match, I'll divide the total goals by the number of matches, which is 3. Dividing 64 by 3 results in approximately 21.33 goals per match.Therefore, the average number of goals scored per match that Carlos covered is 21.33.
question：Alex is a seasoned government relations specialist who assists a lawyer in navigating political influence. During a particular campaign, Alex is tasked with reaching out to 5 different political representatives. For each representative, Alex spends 3 hours preparing briefing materials and 2 hours in meetings. Afterward, Alex spends 1 hour drafting a follow-up report for each representative. How many total hours does Alex spend on this entire task?
answer：First, I need to determine the total time Alex spends on each political representative. For each representative, Alex spends 3 hours preparing briefing materials and 2 hours in meetings, which totals 5 hours per representative.Next, after the meetings, Alex spends 1 hour drafting a follow-up report for each representative. This adds an additional hour per representative.Adding the time spent on meetings and preparation to the time spent on follow-up reports, Alex spends a total of 6 hours per representative.Since there are 5 political representatives, I multiply the total time per representative (6 hours) by 5 to find the overall time spent on the entire task.Finally, calculating 6 hours multiplied by 5 representatives gives a total of 30 hours.
question：Jamie is a huge Vic Mensa fan and loves sharing his music with everyone. Jamie has a playlist with 12 of Vic Mensa's songs. He plans to recommend these songs to his friends by creating personalized playlists. If Jamie makes 3 different playlists for his friends and wants each playlist to have exactly 4 Vic Mensa songs, how many different combinations of songs can Jamie create if no song is repeated in any playlist?
answer：First, I need to determine how many ways Jamie can select 4 songs out of the 12 for the first playlist. This can be calculated using the combination formula, which is 12 choose 4.Next, after selecting the first 4 songs, there are 8 songs remaining. I'll calculate the number of ways to choose 4 songs out of these 8 for the second playlist using the combination formula again, which is 8 choose 4.Finally, with 4 songs left, there's only one way to select all of them for the third playlist. This is simply 4 choose 4, which equals 1.To find the total number of different combinations, I'll multiply the number of ways for each step together: (12 choose 4) multiplied by (8 choose 4) multiplied by 1.
question：Ahmed lives in the United Arab Emirates and greatly respects the founding leaders of the UAE. To commemorate the 50th anniversary of the union, he decides to plant a garden with flowers representing each emirate and the founding fathers. He plants 7 rows of flowers, with each row containing 10 flowers to represent the 7 emirates and 3 founding leaders. After planting, he decides to add 5 more flowers to honor the additional contributions by the leaders. How many flowers does Ahmed have in his garden in total?
answer：First, I need to determine the initial number of flowers Ahmed planted. He has 7 rows with 10 flowers in each row.Calculating the initial total:7 rows × 10 flowers per row = 70 flowers.After planting, Ahmed decides to add 5 more flowers to honor additional contributions by the leaders.Adding the additional flowers:70 flowers + 5 flowers = 75 flowers.Therefore, the total number of flowers in Ahmed's garden is 75.
question：Emma's grandmother would buy her 3 books a month. Emma would read 1 book every 6 months, keeping the rest on her bookshelf. After 24 months, how many books does Emma have on her bookshelf?
answer：First, I need to determine how many books Emma receives over 24 months. Since her grandmother buys her 3 books each month, the total number of books received is 3 multiplied by 24, which equals 72 books.Next, I'll calculate how many books Emma reads in the same period. Emma reads 1 book every 6 months, so over 24 months, she reads 24 divided by 6, which is 4 books.Finally, to find out how many books Emma has on her bookshelf, I'll subtract the number of books she read from the total number of books she received. That is 72 minus 4, resulting in 68 books on her bookshelf.
question：Rebecca needs to put in an additional 3 hours each day beyond her regular 8-hour shift to meet the tight deadline for her marketing project. If the project requires a total of 960 hours of work, how many days will it take Rebecca to complete the project?
answer：First, I need to determine the total number of hours Rebecca works each day. She has a regular 8-hour shift and an additional 3 hours, which totals 11 hours per day.Next, I'll calculate the total number of days required by dividing the total project hours by the daily hours Rebecca works. So, 960 hours divided by 11 hours per day equals approximately 87.27 days.Since Rebecca can't work a fraction of a day, I'll round up to the next whole number, which means it will take her 88 days to complete the project.