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question：Sarah is a working mother who is searching for a school that values creativity and active learning for her daughter, Ella. She has narrowed it down to two schools: Creative Minds Academy and Active Learning School. Creative Minds Academy has 4 art classes, 3 music classes, and 5 dance classes each week. Active Learning School offers 5 art classes, 2 music classes, and 4 dance classes each week. Sarah wants to know how many more creative and active learning classes Creative Minds Academy offers compared to Active Learning School in a week. Calculate the total number of creative and active learning classes each school offers, and find the difference between the two totals.
answer：First, I'll identify the types of classes considered creative and active learning at each school. Creative Minds Academy offers art, music, and dance classes, while Active Learning School also offers art, music, and dance classes.Next, I'll calculate the total number of creative and active learning classes for each school. For Creative Minds Academy, I'll add the number of art, music, and dance classes together. Similarly, for Active Learning School, I'll sum their respective class counts.After obtaining the totals for both schools, I'll find the difference by subtracting the total number of classes at Active Learning School from the total at Creative Minds Academy. This will give me the number of additional classes Creative Minds Academy offers compared to Active Learning School in a week.
question：Jamie is a responsible dog owner who wants to keep their dog, Max, healthy without unnecessary antibiotics. After consulting with the veterinarian, Jamie decides to focus on Max's diet and exercise routine. The vet suggests that Max should have 30 minutes of exercise each day and consume a balanced diet of 500 calories daily.Jamie takes Max on a walk every morning for 15 minutes, and in the evening, they play fetch for 10 minutes. Additionally, Max runs around in the backyard for 5 minutes each day. How many minutes of exercise does Max get each week?Furthermore, Jamie plans Max's meals by choosing from two types of dog food: Brand A provides 50 calories per serving, and Brand B provides 25 calories per serving. If Jamie wants to give Max 500 calories in one day, how many servings of each brand should Jamie use if they decide to give Max 6 servings of Brand A and the rest from Brand B?
answer：First, I need to calculate the total daily exercise Max gets. Jamie takes Max on a 15-minute walk in the morning, plays fetch for 10 minutes in the evening, and Max runs around in the backyard for 5 minutes each day. Adding these together gives the total daily exercise time.Next, to find out how much exercise Max gets each week, I'll multiply the daily exercise time by 7, since there are 7 days in a week.Then, I'll address the dietary requirements. Max needs 500 calories per day. Jamie plans to give Max 6 servings of Brand A, which provides 50 calories per serving. I'll calculate the total calories from Brand A and subtract that from the total daily requirement to determine how many calories are needed from Brand B. Finally, I'll divide the remaining calories by the calories per serving of Brand B to find out how many servings are required.
question：Sophia, an avid reader of classic literature, finds herself inspired by the works of Enlightenment thinkers like Voltaire, Rousseau, and Kant. She decides to organize her bookshelf dedicated to these thinkers. She has 48 books in total, consisting of 3 times as many books by Voltaire as by Rousseau, and twice as many books by Rousseau as by Kant. How many books does Sophia have by each of these Enlightenment thinkers?
answer：First, I need to determine the number of books Sophia has by each Enlightenment thinker: Voltaire, Rousseau, and Kant.Let’s denote the number of books by Kant as ( k ).According to the problem, Sophia has twice as many books by Rousseau as by Kant. Therefore, the number of books by Rousseau is ( 2k ).Additionally, she has three times as many books by Voltaire as by Rousseau. This means the number of books by Voltaire is ( 3 times 2k = 6k ).The total number of books is 48. So, we can set up the equation:[k + 2k + 6k = 48]Combining like terms:[9k = 48]Solving for ( k ):[k = frac{48}{9} = frac{16}{3}]However, the number of books should be a whole number. This suggests there might be an error in the problem setup or interpretation.
question：A tribal council member in Naschitti is planning to install solar panels to promote renewable energy in the community. The member has decided to start with 5 homes, and each home will receive an equal number of solar panels. If the total budget allows for 40 solar panels to be purchased, how many solar panels will each home receive?
answer：To determine how many solar panels each home will receive, I need to divide the total number of solar panels by the number of homes.Given that there are 40 solar panels and 5 homes, I can calculate the number of panels per home by performing the division: 40 divided by 5.This calculation will provide the equal number of solar panels each home will receive.
question：Alex is a digital archivist who is helping to digitize and organize their grandparent's war memorabilia. They have a collection of 120 photographs, 80 letters, and 40 medals. Each photograph takes 2 minutes to scan and digitize, each letter takes 3 minutes, and each medal takes 5 minutes. Calculate the total amount of time, in minutes, Alex will need to spend digitizing the entire collection of memorabilia.
answer：First, I need to calculate the time required to digitize each type of memorabilia separately.For the photographs, there are 120 photos, and each takes 2 minutes to scan. So, the total time for photographs is 120 multiplied by 2, which equals 240 minutes.Next, for the letters, there are 80 letters, and each takes 3 minutes. Therefore, the total time for letters is 80 multiplied by 3, resulting in 240 minutes.Then, for the medals, there are 40 medals, and each takes 5 minutes. This means the total time for medals is 40 multiplied by 5, which equals 200 minutes.Finally, I add up the time for each category: 240 minutes for photographs plus 240 minutes for letters plus 200 minutes for medals. The total time required is 680 minutes.
question：Dr. Smith, a healthcare professional, is evaluating the patient satisfaction scores of two different practices in town. Practice A received mixed reviews and has an average patient satisfaction score of 72 out of 100 based on feedback from 150 patients. Practice B, known for its excellent care, has an average patient satisfaction score of 85 out of 100 based on feedback from 120 patients. Dr. Smith wants to combine the feedback scores to find the overall average satisfaction score for these two practices together. What is the overall average patient satisfaction score when combining the feedback from both practices?
answer：First, I need to determine the total satisfaction scores for both practices by multiplying the average score by the number of patients.For Practice A, the total score is 72 multiplied by 150 patients, which equals 10,800.For Practice B, the total score is 85 multiplied by 120 patients, which equals 10,200.Next, I'll add these total scores together to get the combined total satisfaction score: 10,800 plus 10,200 equals 21,000.Then, I'll find the total number of patients by adding the number of patients from both practices: 150 plus 120 equals 270 patients.Finally, to find the overall average satisfaction score, I'll divide the combined total score by the total number of patients: 21,000 divided by 270, which equals approximately 77.78.