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question:The conservative party leader is organizing a committee to review and strengthen the party's immigration policy. The committee consists of 5 members, and each member is tasked with visiting 3 different regions to gather information. In each region, they plan to meet with 4 local leaders to discuss immigration concerns and policies. How many local leaders will the entire committee meet with in total?
answer:To find the total number of local leaders the entire committee will meet with, follow these steps:1. Determine the number of regions each committee member visits: Each committee member visits 3 different regions.2. Determine the number of local leaders each committee member meets in each region: In each region, a committee member meets with 4 local leaders.3. Calculate the total number of local leaders each committee member meets: [ text{Local leaders per member} = text{Number of regions} times text{Local leaders per region} = 3 times 4 = 12 ] Each committee member meets with 12 local leaders.4. Determine the total number of committee members: There are 5 members in the committee.5. Calculate the total number of local leaders the entire committee meets: [ text{Total local leaders} = text{Local leaders per member} times text{Number of members} = 12 times 5 = 60 ]Thus, the entire committee will meet with a total of 60 local leaders.# 60
question:Dr. Emily is a pioneering female physician who has inspired many young women to pursue careers in medicine. In her hospital, there are 120 doctors, and 45% of them are women, thanks to the barriers Dr. Emily has helped break down. Of the female doctors, 30% have been directly mentored by Dr. Emily. How many female doctors in the hospital have been mentored by Dr. Emily?
answer:To solve the problem, we need to follow these steps:1. Find the number of female doctors in the hospital: - We know that 45% of the 120 doctors are women. - To find the number of female doctors, calculate 45% of 120. [ text{Number of female doctors} = 0.45 times 120 = 54 ]2. Determine how many of these female doctors have been mentored by Dr. Emily: - We know that 30% of the female doctors have been mentored by Dr. Emily. - To find the number of mentored female doctors, calculate 30% of the 54 female doctors. [ text{Number of mentored female doctors} = 0.30 times 54 = 16.2 ]Since the number of mentored doctors must be a whole number, we interpret 16.2 as 16 (assuming rounding down as it makes logical sense in this context, or perhaps the problem implies an exact calculation without rounding).Therefore, the number of female doctors in the hospital who have been mentored by Dr. Emily is:# 16
question:Jamie is the owner of a cozy music venue that supports local alternative bands. On a typical weekend, Jamie hosts 3 bands per night from Friday to Sunday. Each band plays for 2 hours. Jamie charges 10 per ticket and, on average, sells 50 tickets per band performance. If Jamie wants to know how much total revenue is generated from ticket sales over a weekend, how much money will Jamie make in ticket sales from Friday to Sunday?
answer:To solve this problem, we need to calculate the total revenue generated from ticket sales over a weekend at Jamie's music venue.Step 1: Determine the number of band performances per weekend.- Jamie hosts 3 bands per night.- There are 3 nights from Friday to Sunday.[ text{Total number of band performances} = 3 , (text{bands per night}) times 3 , (text{nights}) = 9 , text{band performances}]Step 2: Calculate the total number of tickets sold.- On average, Jamie sells 50 tickets per band performance.[text{Total tickets sold} = 50 , (text{tickets per performance}) times 9 , (text{performances}) = 450 , text{tickets}]Step 3: Calculate the total revenue from ticket sales.- Each ticket is sold for 10.[text{Total revenue} = 450 , (text{tickets}) times 10 , (text{ per ticket}) = 4500 , text{}]So, the total revenue generated from ticket sales over the weekend is 4500.# 4500
question:Marie, a passionate French farmer and sheep breeder, is preparing for the annual countryside festival that celebrates the traditions of her homeland. She plans to showcase her prized sheep collection. Marie has a total of 48 sheep. She decides to divide them equally into 4 pens for the festival display. After organizing her sheep, she realizes that she wants to add a traditional touch to each pen by decorating it with 3 bouquets of lavender, a flower native to her region. If each bouquet costs 5 euros, how much will Marie spend on lavender bouquets for all her sheep pens?
answer:To solve the problem, let's follow the steps outlined:1. Determine the number of sheep in each pen: Marie has a total of 48 sheep, and she wants to divide them equally into 4 pens. To find out how many sheep are in each pen, we divide the total number of sheep by the number of pens: [ text{Sheep per pen} = frac{48 text{ sheep}}{4 text{ pens}} = 12 text{ sheep per pen} ] This calculation tells us that each pen will contain 12 sheep.2. Determine the total number of bouquets needed: Marie wants to decorate each pen with 3 bouquets of lavender. Since there are 4 pens, the total number of bouquets required is: [ text{Total bouquets} = 4 text{ pens} times 3 text{ bouquets per pen} = 12 text{ bouquets} ]3. Calculate the total cost of the bouquets: Each bouquet costs 5 euros. Therefore, the total cost for the 12 bouquets is: [ text{Total cost} = 12 text{ bouquets} times 5 text{ euros per bouquet} = 60 text{ euros} ]Thus, Marie will spend a total of 60 euros on lavender bouquets for all her sheep pens.# 60
question:James is a middle-aged African American who loves investing in tech stocks. Recently, he bought shares in three different tech companies: AlphaTech, BetaSoft, and GammaInnovations. He purchased 100 shares of AlphaTech at 25 per share, 200 shares of BetaSoft at 30 per share, and 150 shares of GammaInnovations at 20 per share. A month later, the stock price of AlphaTech increased by 10%, BetaSoft increased by 5%, and GammaInnovations increased by 15%. James decided to sell all his shares at the new prices. Calculate the total amount of money James made from selling his shares.
answer:To solve the problem, we will calculate the selling price for each stock and then find the total amount of money James made from selling his shares.Step 1: Calculate the new price for each stock.- AlphaTech: - Original price = 25 - Price increase = 10% of 25 = 0.10 * 25 = 2.50 - New price = 25 + 2.50 = 27.50- BetaSoft: - Original price = 30 - Price increase = 5% of 30 = 0.05 * 30 = 1.50 - New price = 30 + 1.50 = 31.50- GammaInnovations: - Original price = 20 - Price increase = 15% of 20 = 0.15 * 20 = 3.00 - New price = 20 + 3.00 = 23.00Step 2: Calculate the total selling price for each stock.- AlphaTech: - Number of shares = 100 - Selling price per share = 27.50 - Total selling price = 100 * 27.50 = 2,750- BetaSoft: - Number of shares = 200 - Selling price per share = 31.50 - Total selling price = 200 * 31.50 = 6,300- GammaInnovations: - Number of shares = 150 - Selling price per share = 23.00 - Total selling price = 150 * 23.00 = 3,450Step 3: Calculate the total amount of money James made from selling all his shares.Total amount = Total from AlphaTech + Total from BetaSoft + Total from GammaInnovationsTotal amount = 2,750 + 6,300 + 3,450 = 12,500# 12,500
question:Jamie is an amateur photographer who loves taking pictures of landscapes, inspired by the renowned photographer Chris Johnson. For an upcoming photo exhibition, Jamie decides to print a series of 24 landscape photos. Each photo print costs 3.50. Additionally, Jamie decides to purchase a photo album to showcase the prints, which costs 18.75. To get ready for the exhibition, Jamie also buys a new camera lens for 145. Jamie plans to sell small-sized copies of each photograph for 5 each at the exhibition. If Jamie sells 10 copies of each of the 24 photos, how much profit will Jamie make after covering all the initial costs?
answer:To calculate Jamie's profit, we first need to determine the total costs and total revenue from selling the photo copies.Step 1: Calculate Total Costs1. Cost of Printing Photos: - Jamie prints 24 photos. - Each photo print costs 3.50. - Total cost for prints = 24 photos * 3.50/photo = 84.00.2. Cost of the Photo Album: - The photo album costs 18.75.3. Cost of the New Camera Lens: - The camera lens costs 145.00.4. Total Initial Costs: - Total costs = Cost of prints + Cost of album + Cost of lens - Total costs = 84.00 + 18.75 + 145.00 = 247.75.Step 2: Calculate Total Revenue1. Revenue from Selling Copies: - Jamie sells 10 copies of each of the 24 photos. - Selling price per copy is 5.00. - Total number of copies sold = 24 photos * 10 copies/photo = 240 copies. - Total revenue = 240 copies * 5.00/copy = 1,200.00.Step 3: Calculate Profit1. Profit Calculation: - Profit = Total revenue - Total costs - Profit = 1,200.00 - 247.75 = 952.25.After these calculations, Jamie's profit from the exhibition is:# 952.25