Appearance
question:Tom and his childhood friend, who has always been his confidant and partner in mischief, decided to play a prank at their old elementary school. They sneak into the schoolyard early in the morning and plan to spread some harmless prank items around the playground. They have 60 colorful rubber balls and 45 funny rubber chickens. Tom suggests they place the rubber balls in groups of 5 around the swings and the rubber chickens in groups of 3 around the slides. After placing the items, they realize they have 3 leftover rubber balls and 6 leftover rubber chickens that they decide to hide in the sandbox.How many groups of rubber balls and groups of rubber chickens did Tom and his friend manage to set up around the schoolyard?
answer:To solve this problem, we need to determine how many groups of rubber balls and rubber chickens they were able to set up around the schoolyard. Let's break it down step by step.Step 1: Calculate the number of groups of rubber balls.Tom and his friend have 60 rubber balls in total, and they placed them in groups of 5. Additionally, they have 3 leftover rubber balls after setting up the groups.Total number of balls used in groups = Total balls - Leftover balls[ = 60 - 3 = 57 ]The number of groups of rubber balls they could set up is:[ frac{57}{5} = 11.4 ]Since the number of groups must be a whole number, they must have set up 11 groups (using 55 balls) and had 3 leftover balls.Step 2: Calculate the number of groups of rubber chickens.Tom and his friend have 45 rubber chickens in total, and they placed them in groups of 3. They have 6 leftover rubber chickens after setting up the groups.Total number of chickens used in groups = Total chickens - Leftover chickens[ = 45 - 6 = 39 ]The number of groups of rubber chickens they could set up is:[ frac{39}{3} = 13 ]Thus, they set up 13 groups of rubber chickens.Final Answer:To summarize, Tom and his friend managed to set up 11 groups of rubber balls and 13 groups of rubber chickens.# 11 groups of rubber balls, 13 groups of rubber chickens
question:Alex is a highly skilled car restorer who specializes in rare sports cars. He is currently working on restoring a limited edition sports car that was originally built in 1972. The car's restoration involves several stages, and Alex has planned it meticulously. First, he spends 15 hours on the engine to ensure it runs perfectly. Next, he dedicates 8 hours to refurbishing the car's exterior to bring back its original shine. After that, he invests 10 hours on the interior to restore its luxurious feel. Finally, Alex spends 7 hours checking and fine-tuning all the mechanical details to guarantee the car is in top condition.If Alex charges 50 per hour for his restoration work, how much will he earn in total for restoring this rare sports car?
answer:To solve the problem, we need to determine how much Alex earns in total by summing the hours he spends on each stage of the restoration and then multiplying by his hourly rate.1. Calculate the total number of hours Alex spends on the restoration: - Engine work: 15 hours - Exterior refurbishment: 8 hours - Interior restoration: 10 hours - Mechanical fine-tuning: 7 hours Total hours = 15 + 8 + 10 + 7 = 40 hours2. Calculate Alex's total earnings by multiplying the total hours by his hourly rate: - Hourly rate = 50 Total earnings = Total hours × Hourly rate = 40 hours × 50/hour = 2000Therefore, Alex will earn a total of 2000 for restoring the rare sports car.# 2000
question:Jake Peralta, the ultimate "Brooklyn Nine-Nine" superfan, has decided to host a marathon watching party. He plans to watch all eight seasons of the show. Each season has an average of 22 episodes, and each episode is approximately 21 minutes long. If Jake takes a 5-minute break after every 3 episodes and wants to finish watching the entire series in a single weekend (Saturday and Sunday), how many total hours will he spend watching "Brooklyn Nine-Nine" during the marathon?
answer:To determine how many total hours Jake will spend watching "Brooklyn Nine-Nine" during the marathon, we need to follow these steps:1. Calculate the Total Number of Episodes: - There are 8 seasons. - Each season has an average of 22 episodes. - Total episodes = 8 seasons × 22 episodes/season = 176 episodes.2. Calculate the Total Watching Time Without Breaks: - Each episode is approximately 21 minutes long. - Total minutes spent watching episodes = 176 episodes × 21 minutes/episode = 3696 minutes.3. Determine the Number of Breaks: - Jake takes a 5-minute break after every 3 episodes. - Total number of breaks = Total episodes ÷ 3 episodes/break = 176 ÷ 3 = 58 breaks (since 176 ÷ 3 is 58 with a remainder, Jake will not take a break after the last 2 episodes).4. Calculate the Total Break Time: - Each break is 5 minutes long. - Total break time = 58 breaks × 5 minutes/break = 290 minutes.5. Calculate the Total Time Spent Including Breaks: - Total time in minutes = Total watching time + Total break time = 3696 minutes + 290 minutes = 3986 minutes.6. Convert Total Time to Hours: - 1 hour = 60 minutes. - Total hours = Total time in minutes ÷ 60 minutes/hour = 3986 ÷ 60 ≈ 66.4333 hours.7. Round the Total Hours: - Since Jake needs to finish during the weekend, and fractional hours might be interpreted as needing to round up for planning purposes, we consider the total time in full hours.Thus, the total time Jake will spend watching the series during the marathon is approximately 66.43 hours, but for practical purposes, we can say he will spend:# 66 hours
question:Alex is a college student from Spain studying abroad in the United States. Alex is excited to attend an American football game for the first time. The game lasts for 4 quarters, with each quarter being 15 minutes long. During the game, Alex buys some snacks: a hot dog for 5, a soda for 3, and a bag of popcorn for 4. If Alex pays with a 20 bill, how much change should Alex receive? Additionally, how many total minutes does Alex spend watching the game?
answer:To solve the problem, we need to determine two things: the total change Alex receives and the total number of minutes Alex spends watching the game. Step 1: Calculate the cost of snacks Alex buys.- Cost of a hot dog: 5- Cost of a soda: 3- Cost of a bag of popcorn: 4Add these costs together to find the total amount Alex spends on snacks:[ 5 + 3 + 4 = 12 ] Step 2: Calculate the change Alex should receive.Alex pays with a 20 bill, so we subtract the total cost of the snacks from the 20:[ 20 - 12 = 8 ]Thus, Alex should receive 8 in change. Step 3: Calculate the total minutes of the game.The game lasts for 4 quarters, with each quarter being 15 minutes long. Multiply the number of quarters by the minutes per quarter to find the total game time:[ 4 times 15 = 60 ]Thus, Alex spends 60 minutes watching the game. Final Answer:Change Alex receives: 8Total minutes watching the game: 60# 8, 60
question:Lisa is a fitness influencer who loves sharing her workout routines and diet tips with her followers. Recently, she started using products from a rival supplement company and has seen incredible results. Each week, she posts videos of her progress and shares how much of each supplement she uses. In one of her recent updates, Lisa mentioned that she consumes 3 protein shakes, 2 pre-workout drinks, and 4 recovery drinks each day. Each protein shake contains 20 grams of protein, each pre-workout drink has 150 milligrams of caffeine, and each recovery drink has 10 grams of carbohydrates. Calculate the total amount of protein, caffeine, and carbohydrates Lisa consumes in one week from these supplements alone.
answer:To solve this problem, we need to calculate the total amounts of protein, caffeine, and carbohydrates that Lisa consumes in one week from her supplements.Step 1: Calculate daily consumption of each component.1. Protein: - Lisa consumes 3 protein shakes per day. - Each shake contains 20 grams of protein. - Therefore, daily protein consumption = (3 text{ shakes} times 20 text{ grams/shake} = 60 text{ grams of protein}).2. Caffeine: - Lisa consumes 2 pre-workout drinks per day. - Each drink contains 150 milligrams of caffeine. - Therefore, daily caffeine consumption = (2 text{ drinks} times 150 text{ mg/drink} = 300 text{ mg of caffeine}).3. Carbohydrates: - Lisa consumes 4 recovery drinks per day. - Each drink contains 10 grams of carbohydrates. - Therefore, daily carbohydrate consumption = (4 text{ drinks} times 10 text{ grams/drink} = 40 text{ grams of carbohydrates}).Step 2: Calculate weekly consumption of each component.1. Weekly Protein Consumption: - Daily protein consumption is 60 grams. - Therefore, weekly protein consumption = (60 text{ grams/day} times 7 text{ days/week} = 420 text{ grams of protein}).2. Weekly Caffeine Consumption: - Daily caffeine consumption is 300 milligrams. - Therefore, weekly caffeine consumption = (300 text{ mg/day} times 7 text{ days/week} = 2100 text{ mg of caffeine}).3. Weekly Carbohydrate Consumption: - Daily carbohydrate consumption is 40 grams. - Therefore, weekly carbohydrate consumption = (40 text{ grams/day} times 7 text{ days/week} = 280 text{ grams of carbohydrates}).Final step: Summarize the weekly totals.- Total weekly protein consumption: 420 grams- Total weekly caffeine consumption: 2100 milligrams- Total weekly carbohydrate consumption: 280 grams#420 grams of protein, 2100 milligrams of caffeine, 280 grams of carbohydrates
question:Alex, a young and ambitious individual, looks up to the president as a mentor and decides to start their own business selling custom notebooks. The president advises Alex to set a goal of selling 150 notebooks in the first month. Alex plans to sell each notebook for 5.In the first week, Alex sells 30 notebooks. In the second week, Alex gets inspired by a motivational speech from the president and manages to sell twice as many notebooks as the first week. In the third week, Alex receives additional guidance, resulting in a 50% increase in sales compared to the second week. In the final week, Alex sells 10 fewer notebooks than in the third week.How many notebooks does Alex sell in total by the end of the month?
answer:To solve the problem step-by-step, we need to calculate the number of notebooks Alex sells each week and then sum them up.1. First Week Sales: - Alex sells 30 notebooks in the first week.2. Second Week Sales: - Alex sells twice as many notebooks as in the first week. - Therefore, sales in the second week = 2 × 30 = 60 notebooks.3. Third Week Sales: - Alex sells 50% more notebooks than the second week. - A 50% increase on 60 notebooks is calculated as follows: - 50% of 60 = 0.5 × 60 = 30. - Therefore, sales in the third week = 60 + 30 = 90 notebooks.4. Fourth Week Sales: - Alex sells 10 fewer notebooks than in the third week. - Therefore, sales in the fourth week = 90 - 10 = 80 notebooks.5. Total Sales for the Month: - Add up the sales from each week to get the total sales for the month: - Total sales = 30 (first week) + 60 (second week) + 90 (third week) + 80 (fourth week).Let's calculate the total:[ text{Total sales} = 30 + 60 + 90 + 80 = 260 ]# 260