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question：As a writer for a popular science magazine, you are crafting an article to explain the scale of the solar system in a way that readers can easily grasp. You decide to use a model where 1 million kilometers in space is represented by 1 centimeter on paper. In your article, you want to compare the distance from the Earth to the Sun, which is approximately 150 million kilometers, and the distance from the Earth to Mars, which is about 225 million kilometers at its furthest point. Using your model, how many centimeters will you need on paper to represent the distance from Earth to the Sun, and how many centimeters for the distance from Earth to Mars? What is the total length in centimeters needed to represent both distances combined?
answer：First, I need to understand the scale of the model. The model represents 1 million kilometers in space as 1 centimeter on paper.Next, I'll calculate the distance from Earth to the Sun. Since the actual distance is approximately 150 million kilometers, I divide this by 1 million kilometers per centimeter to find the scaled distance.Then, I'll determine the distance from Earth to Mars at its furthest point, which is about 225 million kilometers. Using the same scale, I'll divide this distance by 1 million kilometers per centimeter to get the scaled distance.Finally, I'll add the two scaled distances together to find the total length needed to represent both distances combined on paper.
question：A talented stop-motion animator is working on a new project that involves creating a short film. For each second of animation, they need to create 24 individual frames. The animator plans to make a 5-minute film. On average, they can complete 12 frames in an hour. How many hours will the animator need to complete all the frames for the entire film?
answer：First, I need to determine the total number of seconds in a 5-minute film. Since there are 60 seconds in a minute, multiplying 5 minutes by 60 gives 300 seconds.Next, for each second of animation, the animator creates 24 frames. So, multiplying 300 seconds by 24 frames per second results in a total of 7,200 frames needed for the entire film.The animator can complete 12 frames in one hour. To find out how many hours are required to finish all 7,200 frames, I divide the total number of frames by the number of frames completed per hour. Dividing 7,200 by 12 gives 600 hours.Therefore, the animator will need 600 hours to complete all the frames for the film.
question：Officer Kelly, who leads the D.A.R.E. program in the neighborhood, visited the local school to educate the students about drug abuse. She planned to distribute 150 informative brochures equally among 5 different classes. If each class has 25 students, how many brochures will each student receive?
answer：First, I need to determine the total number of brochures Officer Kelly has, which is 150.Next, I'll calculate how many brochures each class will receive by dividing the total brochures by the number of classes. So, 150 brochures divided by 5 classes equals 30 brochures per class.Then, I'll find out how many brochures each student gets by dividing the number of brochures per class by the number of students in each class. That means 30 brochures divided by 25 students equals 1.2 brochures per student.Since it's not practical to distribute a fraction of a brochure, I'll round down to the nearest whole number. Therefore, each student will receive 1 brochure.
question：Alex is a college student majoring in Business Administration. To help lessen the financial burden on their parent, Alex decides to take on a part-time job. They work 15 hours a week and earn 12 per hour. Alex plans to save 75% of their earnings each week to contribute toward household expenses. Over the course of 4 weeks, how much money will Alex be able to contribute to their parent's expenses?
answer：First, I need to determine Alex's weekly earnings by multiplying the number of hours worked by the hourly wage.Next, I'll calculate the amount Alex plans to save each week by taking 75% of the weekly earnings.Finally, I'll find the total contribution over four weeks by multiplying the weekly savings by four.
question：Emma is planning her first cruise vacation and is concerned about safety on board. She learns that the cruise ship has 5 emergency lifeboats, each capable of holding 50 passengers. Emma also discovers that the cruise ship has a total capacity of 800 passengers. If the ship is at full capacity, how many more lifeboats would be needed to ensure that all passengers can be safely accommodated in an emergency, assuming each lifeboat is filled to its maximum capacity?
answer：First, I need to determine the total number of passengers the cruise ship can hold, which is 800 passengers.Next, I'll calculate the current capacity of the 5 emergency lifeboats. Each lifeboat can hold 50 passengers, so 5 lifeboats can accommodate 5 multiplied by 50, which equals 250 passengers.To find out how many additional lifeboats are needed, I'll subtract the current capacity from the total number of passengers: 800 minus 250 equals 550 passengers still need to be accommodated.Each lifeboat can hold 50 passengers, so I'll divide the remaining passengers by the capacity of one lifeboat: 550 divided by 50 equals 11 lifeboats.Since you can't have a fraction of a lifeboat, I'll round up to ensure all passengers are safely accommodated. Therefore, 11 additional lifeboats are needed.
question：Jamie is a parent who wants to ensure their child, Alex, with gastrointestinal issues gets the right amount of fiber in their diet each day. After consulting with a nutritionist, Jamie learns that Alex should consume about 20 grams of fiber daily. Jamie decides to track Alex's fiber intake throughout the day to share this valuable data with other parents.For breakfast, Alex eats oatmeal that contains 5 grams of fiber. For lunch, Alex has a sandwich and an apple, which together provide 8 grams of fiber. At dinner, Alex eats vegetables and rice that add up to 6 grams of fiber. Jamie also gives Alex a fiber-rich snack that contains 3 grams of fiber.How much fiber does Alex consume throughout the day, and is it enough to meet the recommended 20 grams?
answer：First, I'll identify the fiber content from each meal and snack that Alex consumes throughout the day.For breakfast, Alex has oatmeal with 5 grams of fiber.At lunch, the sandwich and apple together provide 8 grams of fiber.For dinner, the vegetables and rice contribute 6 grams of fiber.Additionally, Alex has a fiber-rich snack that contains 3 grams of fiber.Next, I'll add up all these amounts to find the total daily fiber intake.Finally, I'll compare the total fiber consumed to the recommended 20 grams to determine if Alex meets the goal.