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question:A competitive film director is planning a film shoot that will take place over several days. The director has 5 different locations to shoot and wants to allocate 3 hours for each location per day. The director also plans to spend 2 hours each day reviewing the footage and making notes. If the director works for 5 days, how many total hours will the director spend on location shoots and reviewing footage?

answer:First, calculate the total hours spent on location shoots each day by multiplying the number of locations by the hours allocated per location: 5 locations × 3 hours = 15 hours.Next, add the 2 hours spent each day reviewing footage to the location shoot hours: 15 hours + 2 hours = 17 hours per day.Finally, multiply the daily total by the number of days worked to find the overall total: 17 hours/day × 5 days = 85 hours.

question:John is a U.S. citizen who works in the American corn farming industry. During the harvest season, he has a field that produces 250 bushels of corn per acre. This year, John planted 120 acres of corn. He plans to sell the corn at a market price of 4 per bushel. If John expects to spend 10,000 on labor and 5,000 on equipment maintenance, how much profit will John make from his corn harvest this year?

answer:First, I need to determine the total bushels of corn John will harvest. He has 120 acres, and each acre produces 250 bushels. So, multiplying 120 by 250 gives 30,000 bushels.Next, I'll calculate the total revenue from selling the corn. With a market price of 4 per bushel, multiplying 30,000 bushels by 4 results in 120,000 in revenue.Then, I'll sum up John's total expenses. He expects to spend 10,000 on labor and 5,000 on equipment maintenance, which adds up to 15,000 in total expenses.Finally, to find the profit, I'll subtract the total expenses from the total revenue. So, 120,000 minus 15,000 equals a profit of 105,000.

question:Sarah is an expat career coach who specializes in helping professionals relocate to the Middle East. Last month, she successfully coached 15 clients. Each client paid her 200 for an initial consultation, and she also earned an additional 150 per client for follow-up sessions. If she provided follow-up sessions to 10 of her clients, how much total income did Sarah earn from all her coaching services last month?

answer:First, I need to determine the number of clients Sarah worked with, which is 15.Each client paid 200 for an initial consultation, so the total income from initial consultations is 15 multiplied by 200, totaling 3,000.Sarah provided follow-up sessions to 10 of her clients, earning an additional 150 per client. Therefore, the total income from follow-up sessions is 10 multiplied by 150, which equals 1,500.Finally, to find the total income Sarah earned last month, I add the income from initial consultations and follow-up sessions: 3,000 plus 1,500 equals 4,500.

question:Emily purchased a few items for her school lunch: a salad, a piece of fruit, and a granola bar. The fruit cost 3, and the salad was three times more expensive. The granola bar's price was 50% of the total cost of the fruit and salad. How much did Emily pay for her school lunch?

answer:First, I'll determine the cost of each item based on the given information.The fruit costs 3.The salad is three times more expensive than the fruit, so the salad costs 3 times 3, which is 9.Next, the granola bar's price is 50% of the total cost of the fruit and salad. The total cost of the fruit and salad is 3 + 9 = 12. Therefore, the granola bar costs 50% of 12, which is 6.Finally, to find the total amount Emily paid for her school lunch, I'll add up the costs of the fruit, salad, and granola bar: 3 + 9 + 6 = 18.

question:An aspiring actor wants to practice their acting skills by watching episodes of a TV show that C.S. Lee starred in. They decide to watch the show for 4 weeks. Each week, they plan to watch 3 episodes. Each episode is 45 minutes long. However, in the third week, they have an audition and can only watch 2 episodes that week. How many total minutes will the aspiring actor spend watching the show over the 4 weeks?

answer:First, I need to determine the total number of episodes the aspiring actor plans to watch over the 4 weeks. Normally, they watch 3 episodes each week, totaling 12 episodes. However, in the third week, they can only watch 2 episodes due to an audition, reducing the total to 11 episodes.Next, I'll calculate the total time spent watching by multiplying the number of episodes by the length of each episode. Each episode is 45 minutes long, so 11 episodes multiplied by 45 minutes equals 495 minutes.Therefore, the aspiring actor will spend a total of 495 minutes watching the show over the 4 weeks.

question:Emma is an Olympic gold medalist who loves to encourage fair play and sportsmanship in all sports events. She organized a friendly sports day at a local school, where she planned a series of races for the students. There were 5 different races, and each race had exactly 8 participants. Emma decided to award 3 points for fair play to each participant who demonstrated good sportsmanship, regardless of their finishing position.In the first race, 6 out of the 8 participants received fair play points. In the second race, all 8 participants displayed excellent sportsmanship and received the points. The third race saw 5 participants earning fair play points, while in the fourth race, only 4 participants were awarded. Finally, in the fifth race, 7 participants earned fair play points.How many fair play points in total did Emma award during the sports day?

answer:First, I need to determine the number of fair play points awarded in each race. Each participant who demonstrated good sportsmanship received 3 points.In the first race, 6 participants received points, so that's 6 multiplied by 3, which equals 18 points.In the second race, all 8 participants were awarded, resulting in 8 multiplied by 3, totaling 24 points.For the third race, 5 participants earned points, so 5 times 3 equals 15 points.In the fourth race, 4 participants received points, which is 4 multiplied by 3, totaling 12 points.Finally, in the fifth race, 7 participants were awarded, so 7 times 3 equals 21 points.To find the total fair play points awarded during the sports day, I will add up the points from all five races: 18 + 24 + 15 + 12 + 21, which equals 90 points.

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