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question:Jamie is a middle-aged music fan who has been following Thelma Plum's career for years and feels inspired by her journey towards self-expression. Jamie decides to purchase some of Thelma Plum's albums and concert tickets to support her. Each album costs 12, and Jamie wants to buy 3 albums. Additionally, Jamie plans to attend two concerts, with each ticket costing 45. Jamie has saved 200 specifically for this purpose. How much money will Jamie have left after buying the albums and concert tickets?
answer:To determine how much money Jamie will have left after buying the albums and concert tickets, we will follow these steps:1. Calculate the total cost of the albums: - Jamie wants to buy 3 albums. - Each album costs 12. - Total cost for albums = Number of albums × Cost per album [ text{Total cost for albums} = 3 times 12 = 36 ]2. Calculate the total cost of the concert tickets: - Jamie plans to attend 2 concerts. - Each concert ticket costs 45. - Total cost for tickets = Number of tickets × Cost per ticket [ text{Total cost for tickets} = 2 times 45 = 90 ]3. Calculate the total cost for both albums and tickets: - Total cost = Total cost for albums + Total cost for tickets [ text{Total cost} = 36 + 90 = 126 ]4. Determine how much money Jamie will have left: - Jamie has saved 200. - Money left = Total money saved - Total cost [ text{Money left} = 200 - 126 = 74 ]Therefore, after buying the albums and concert tickets, Jamie will have 74 left.# 74
question:Officer Lewis is working on a case that involves interviewing multiple witnesses with the help of an interpreter. During one day, Officer Lewis and the interpreter conduct interviews for 5 cases. For each case, they interview 4 witnesses. If each interview takes 30 minutes and they take a 10-minute break between each case, how much total time do Officer Lewis and the interpreter spend on interviews and breaks that day?
answer:To solve the problem, we need to calculate the total time spent on interviews and the breaks separately, then add them together.Step 1: Calculate the total time spent on interviews.- There are 5 cases.- For each case, there are 4 witnesses interviewed.- Each interview takes 30 minutes.First, calculate the number of interviews conducted:[text{Total number of interviews} = text{Number of cases} times text{Number of witnesses per case} = 5 times 4 = 20]Next, calculate the total time spent on interviews:[text{Total interview time} = text{Total number of interviews} times text{Time per interview} = 20 times 30 = 600 text{ minutes}]Step 2: Calculate the total time spent on breaks.- There are 5 cases, and they take a 10-minute break between each case.- Since there are breaks between cases, the number of breaks is one less than the number of cases.Calculate the number of breaks:[text{Number of breaks} = text{Number of cases} - 1 = 5 - 1 = 4]Calculate the total time spent on breaks:[text{Total break time} = text{Number of breaks} times text{Time per break} = 4 times 10 = 40 text{ minutes}]Step 3: Calculate the total time spent on interviews and breaks.Add the total interview time and the total break time:[text{Total time spent} = text{Total interview time} + text{Total break time} = 600 + 40 = 640 text{ minutes}]Therefore, the total time Officer Lewis and the interpreter spend on interviews and breaks that day is:# 640 minutes
question:Alex is an analytical thinker who works closely with a PHP developer to create web applications. One day, Alex gathers requirements for a new project, which involves creating a website that displays a list of items for sale. The client wants to display these items in rows, with each row showing 5 items. The total number of items to be displayed is 125. To ensure that the PHP developer can easily implement the design, Alex needs to figure out how many rows are required to display all the items. How many rows will the PHP developer need to code to display all 125 items, if each row holds exactly 5 items?
answer:To solve this problem, we need to determine how many rows are required to display all the items, given that each row can hold exactly 5 items. The total number of items to be displayed is 125.Here's the step-by-step solution:1. Identify the total number of items: The total number of items to be displayed is 125.2. Determine how many items each row can hold: Each row can hold 5 items.3. Calculate the number of rows required: To find the number of rows, we need to divide the total number of items by the number of items each row can hold. Therefore, the calculation is: [ text{Number of rows} = frac{text{Total number of items}}{text{Number of items per row}} = frac{125}{5} ]4. Perform the division: [ frac{125}{5} = 25 ] Therefore, 25 rows are required to display all 125 items.5. Verify the calculation: Multiply the number of rows by the number of items per row to check if it equals the total number of items: [ 25 times 5 = 125 ] This confirms that the calculation is correct.# 25
question:Alex, a skilled 4x4 vehicle driver, is on an adventurous journey through the scenic trails of the Andes. Known for his exceptional navigational skills and fluency in multiple languages, he often acts as a guide for travelers eager to explore the local culture. On one such journey, Alex plans a route that includes stops in 4 different villages where he will also share stories about the local culture in different languages.Each village is 12 kilometers apart, and Alex spends 30 minutes at each village to engage with the locals and tourists. If Alex drives at a constant speed of 24 kilometers per hour and spends an additional 15 minutes at the final village to enjoy a traditional dance, how much total time does Alex spend on this journey, including travel and village stops?Calculate the total time in hours and minutes.
answer:To solve this problem, we'll break down the journey into travel time and stop time, then calculate the total time Alex spends on his trip.Step 1: Calculate the travel time between villages.- There are 4 different villages and the distance between each village is 12 kilometers.- Since Alex drives at a constant speed of 24 kilometers per hour, we can calculate the time it takes to travel between each village using the formula: [ text{Travel time between villages} = frac{text{Distance}}{text{Speed}} = frac{12 text{ km}}{24 text{ km/h}} = 0.5 text{ hours} ] This means it takes Alex 0.5 hours (or 30 minutes) to travel from one village to the next.Step 2: Determine the number of travel segments.- Since there are 4 villages and he starts at the first village, Alex will have 3 travel segments between the villages (from village 1 to village 2, village 2 to village 3, and village 3 to village 4).Step 3: Calculate the total travel time.- For 3 travel segments, the total travel time is: [ 3 text{ segments} times 0.5 text{ hours/segment} = 1.5 text{ hours} ]Step 4: Calculate the total stop time at the villages.- Alex stops for 30 minutes at each of the 4 villages. Therefore, the total stop time at the first 4 villages is: [ 4 text{ villages} times 30 text{ minutes/village} = 120 text{ minutes} ]- Additionally, Alex spends an extra 15 minutes at the final village for a traditional dance. Thus, the total stop time becomes: [ 120 text{ minutes} + 15 text{ minutes} = 135 text{ minutes} ] Converting 135 minutes to hours: [ frac{135 text{ minutes}}{60 text{ minutes/hour}} = 2.25 text{ hours} ]Step 5: Calculate the total time for the journey.- Total time = Total travel time + Total stop time: [ 1.5 text{ hours (travel)} + 2.25 text{ hours (stops)} = 3.75 text{ hours} ]To express 3.75 hours in hours and minutes:- 3.75 hours = 3 hours + 0.75 hours- 0.75 hours = 0.75 times 60 text{ minutes} = 45 text{ minutes}Thus, the total time Alex spends on the journey is 3 hours and 45 minutes.# 3 hours and 45 minutes
question:The music director is planning a concert series and wants to ensure a balanced program by including various genres of music. For the upcoming concert, they decide to include 8 classical pieces, 5 jazz pieces, and 7 pop songs. Each classical piece is expected to take 12 minutes, each jazz piece 8 minutes, and each pop song 5 minutes. The director also wants to include a 15-minute intermission mid-way through the concert. How many minutes long will the entire concert be, including the intermission?
answer:To determine the total length of the concert including the intermission, follow these steps:1. Calculate the total time for classical pieces: - There are 8 classical pieces. - Each classical piece takes 12 minutes. - Total time for classical pieces = (8 times 12 = 96) minutes.2. Calculate the total time for jazz pieces: - There are 5 jazz pieces. - Each jazz piece takes 8 minutes. - Total time for jazz pieces = (5 times 8 = 40) minutes.3. Calculate the total time for pop songs: - There are 7 pop songs. - Each pop song takes 5 minutes. - Total time for pop songs = (7 times 5 = 35) minutes.4. Calculate the total performance time (without intermission): - Total performance time = Time for classical pieces + Time for jazz pieces + Time for pop songs. - Total performance time = (96 + 40 + 35 = 171) minutes.5. Add the intermission time: - The intermission is 15 minutes long. - Total concert time = Total performance time + Intermission. - Total concert time = (171 + 15 = 186) minutes.Therefore, the entire concert, including the intermission, will last a total of 186 minutes.# 186
question:Maria is the founder of a fair trade coffee company. She believes in paying fair wages to the farmers who grow her coffee beans. Last year, Maria worked with a cooperative of farmers in Colombia and made sure they received a fair trade premium. For each pound of coffee beans, Maria pays an extra 0.50 as a fair trade premium. If Maria's company purchased 2,000 pounds of coffee beans last month, how much in total did Maria pay as a fair trade premium to the farmers?
answer:To solve this problem, we need to determine the total amount that Maria paid as a fair trade premium for the coffee beans she purchased.Given:- The fair trade premium is 0.50 per pound of coffee beans.- Maria's company purchased 2,000 pounds of coffee beans.We need to calculate the total fair trade premium paid for the 2,000 pounds of coffee beans.Step 1: Identify the fair trade premium per pound, which is 0.50.Step 2: Identify the total number of pounds purchased, which is 2,000 pounds.Step 3: Calculate the total fair trade premium by multiplying the fair trade premium per pound by the total number of pounds purchased.[text{Total Fair Trade Premium} = (text{Fair Trade Premium per Pound}) times (text{Total Pounds Purchased})][text{Total Fair Trade Premium} = 0.50 times 2,000]Step 4: Perform the multiplication.[text{Total Fair Trade Premium} = 1,000]Therefore, Maria paid a total of 1,000 as a fair trade premium to the farmers.# 1,000