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question:Mr. Thompson, the older and respected figure in the neighborhood, runs a local youth center where he organizes weekly activities for children. Each week, he buys supplies for arts and crafts, sports equipment, and snacks. This week, he spent 45 on arts and crafts supplies, 30 on sports equipment, and 25 on snacks. On Friday, he received a donation of 50 from a local business to support his activities. How much money did Mr. Thompson spend from his own funds after receiving the donation?
answer:To solve this problem, we need to determine how much money Mr. Thompson spent from his own funds after receiving the donation. Here is the step-by-step breakdown of the solution:1. Calculate the Total Expenses: - Mr. Thompson spent 45 on arts and crafts supplies. - He spent 30 on sports equipment. - He spent 25 on snacks. - Therefore, the total expenses for the week are calculated as follows: [ text{Total Expenses} = 45 + 30 + 25 = 100 ]2. Calculate the Net Expenses After the Donation: - Mr. Thompson received a 50 donation. - To find out how much money he spent from his own funds, subtract the donation from the total expenses: [ text{Net Expenses} = text{Total Expenses} - text{Donation} = 100 - 50 = 50 ]Therefore, after receiving the donation, Mr. Thompson spent 50 from his own funds.# 50
question:A venture capitalist named Alex is specializing in impact investing. Alex is considering funding the expansion of eco-lodges in three different regions. In Region A, the cost to expand an eco-lodge is 150,000. In Region B, the cost is 200,000, and in Region C, it is 250,000. If Alex decides to fund 2 eco-lodges in Region A, 3 eco-lodges in Region B, and 1 eco-lodge in Region C, how much total funding will Alex need to provide for all the expansions?
answer:To solve this problem, we need to calculate the total cost of funding the eco-lodge expansions in all three regions based on the given costs and quantities.1. Calculate the total cost for Region A: - The cost to expand one eco-lodge in Region A is 150,000. - Alex decides to fund 2 eco-lodges in Region A. - Total cost for Region A = Cost per lodge in Region A × Number of lodges in Region A [ text{Total cost for Region A} = 150,000 times 2 = 300,000 ]2. Calculate the total cost for Region B: - The cost to expand one eco-lodge in Region B is 200,000. - Alex decides to fund 3 eco-lodges in Region B. - Total cost for Region B = Cost per lodge in Region B × Number of lodges in Region B [ text{Total cost for Region B} = 200,000 times 3 = 600,000 ]3. Calculate the total cost for Region C: - The cost to expand one eco-lodge in Region C is 250,000. - Alex decides to fund 1 eco-lodge in Region C. - Total cost for Region C = Cost per lodge in Region C × Number of lodges in Region C [ text{Total cost for Region C} = 250,000 times 1 = 250,000 ]4. Calculate the total funding needed: - Add up the total costs from all three regions to find the total funding needed. [ text{Total funding needed} = text{Total cost for Region A} + text{Total cost for Region B} + text{Total cost for Region C} ] [ text{Total funding needed} = 300,000 + 600,000 + 250,000 = 1,150,000 ]Thus, the total funding Alex will need to provide for all the expansions is 1,150,000.#1,150,000
question:A retired music producer is preparing a presentation to share with Jay Park about the evolution of music production over the decades. He plans to include stories about 5 different decades. For each decade, he wants to share 3 stories, with each story requiring 4 minutes to tell. After presenting the stories, he wants to spend an additional 15 minutes advising Jay Park on his career. How many minutes in total will the retired music producer spend on his presentation and advice session?
answer:To solve the problem, we need to calculate the total time the retired music producer will spend on his presentation and advice session.1. Calculate the total number of stories: - The producer plans to cover 5 different decades. - For each decade, he will share 3 stories. - Total number of stories = 5 decades × 3 stories/decade = 15 stories.2. Calculate the total time spent on stories: - Each story requires 4 minutes to tell. - Total time for stories = 15 stories × 4 minutes/story = 60 minutes.3. Calculate the total time for the advice session: - The advice session will take an additional 15 minutes.4. Calculate the overall total time: - Total time = Time for stories + Time for advice session - Total time = 60 minutes (stories) + 15 minutes (advice) = 75 minutes.Thus, the retired music producer will spend a total of 75 minutes on his presentation and advice session.# 75
question:Professor Thompson, a history professor, has a collection of rare historical antiques that he often lends to a local designer for use in various projects. Each antique in his collection is estimated to be around 100 years old. Last month, the designer used 7 different antiques for a special exhibition. For each antique used, the designer paid Professor Thompson 15 as a rental fee per day. The exhibition lasted for 5 days. How much total rental income did Professor Thompson earn from this exhibition?
answer:To determine the total rental income Professor Thompson earned from the exhibition, we need to calculate the income from renting each antique and then find the total for all antiques used.1. Rental Fee Calculation per Day for One Antique: The designer paid 15 per day for each antique.2. Total Rental Fee for One Antique Over 5 Days: Multiply the daily rental fee by the number of days the exhibition lasted: [ 15 , text{dollars/day} times 5 , text{days} = 75 , text{dollars} ]3. Total Rental Income for All Antiques: Since 7 different antiques were used, multiply the total rental fee for one antique by the number of antiques: [ 75 , text{dollars/antique} times 7 , text{antiques} = 525 , text{dollars} ]Therefore, the total rental income that Professor Thompson earned from this exhibition is:# 525
question:Mr. Sweet, the owner of Sweet Tooth Candy Store, believes that candies can bring joy and should be enjoyed in moderation. He decided to create a special promotion to encourage customers to enjoy candies responsibly. For every 5 candy bars a customer buys, Mr. Sweet gives them 2 additional candy bars for free. If a customer buys 30 candy bars, how many candy bars will they have in total, including the free ones?
answer:To solve this problem, we need to determine how many additional candy bars a customer receives for free when they purchase a certain number of candy bars.Here's the step-by-step solution:1. Identify the Promotion Rule: For every 5 candy bars purchased, the customer receives 2 additional candy bars for free.2. Determine the Number of Times the Promotion Applies: - If a customer buys 30 candy bars, we need to see how many groups of 5 candy bars there are in 30. - This is calculated by dividing 30 by 5: [ frac{30}{5} = 6 ] - Therefore, the promotion applies 6 times.3. Calculate the Total Number of Free Candy Bars: - Since the promotion applies 6 times and each application gives 2 free candy bars, we calculate the total number of free candy bars by: [ 6 times 2 = 12 ]4. Calculate the Total Number of Candy Bars: - The customer originally bought 30 candy bars. - With the 12 additional free candy bars, the total number of candy bars is: [ 30 + 12 = 42 ]Thus, the customer will have a total of 42 candy bars, including the free ones.# 42
question:Alex, a popular social media personality, has 250,000 followers. A company in crisis needs to communicate an important message to as many people as possible. Statistics show that on average, 30% of Alex's followers will see any message he shares. However, due to the urgency of this particular message, it's expected that 50% of those who see the message will also share it with their own followers. On average, each of these followers has 500 followers. How many people in total are expected to see the company's crisis communication message, including the original followers of Alex?
answer:To solve this problem, we will break down the process into steps to calculate the total number of people who are expected to see the company's crisis communication message.Step 1: Calculate the number of Alex's followers who will see the message.Alex has 250,000 followers. According to the problem, 30% of Alex's followers will see any message he shares. Therefore, the number of followers who will see the message is:[text{Number of initial viewers} = 250,000 times 0.30 = 75,000]Step 2: Calculate the number of people who will share the message.Out of those 75,000 followers who see the message, 50% are expected to share it with their followers. Therefore, the number of people who will share the message is:[text{Number of sharers} = 75,000 times 0.50 = 37,500]Step 3: Calculate the number of additional people who will see the shared message.Each of the 37,500 people who share the message has, on average, 500 followers. Therefore, the number of additional people who will see the shared message is:[text{Number of additional viewers} = 37,500 times 500 = 18,750,000]Step 4: Calculate the total number of people expected to see the message.The total number of people who are expected to see the message includes both the original viewers (from Alex's followers) and the additional viewers (from those who received the shared message). Thus, the total is:[text{Total viewers} = 75,000 + 18,750,000 = 18,825,000]# 18,825,000