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question:Alex, a grad student who loves reading philosophy literature, is particularly fond of the works of Smith. Over the past month, Alex decided to dedicate some time each day to read through Smith's books. Each week, Alex managed to read 50 pages from Smith's works. In addition to Smith's books, Alex also read 20 pages of other philosophical literature each week. If Alex maintained this reading schedule for 4 weeks, how many pages in total did Alex read during that period?
answer:To solve this problem, we need to calculate the total number of pages Alex read over a period of 4 weeks, considering the pages read from Smith's works and other philosophical literature.Let's break down the problem step-by-step:1. Pages read per week from Smith's works: - Alex reads 50 pages from Smith's works each week.2. Pages read per week from other philosophical literature: - Alex reads 20 pages from other philosophical literature each week.3. Total pages read per week: - Total pages per week = Pages from Smith's works + Pages from other literature - Total pages per week = 50 pages (Smith) + 20 pages (other) - Total pages per week = 70 pages4. Total pages read over 4 weeks: - Since Alex maintains this reading schedule for 4 weeks, we multiply the weekly total by 4. - Total pages over 4 weeks = Total pages per week × 4 weeks - Total pages over 4 weeks = 70 pages/week × 4 weeks - Total pages over 4 weeks = 280 pagesTherefore, the total number of pages Alex read over the 4 weeks is:# 280
question:Maria is an aspiring journalist from Honduras. She is working on a series of articles about different cities in her country. To gather information, she plans to visit three cities: Tegucigalpa, San Pedro Sula, and La Ceiba. Maria has planned her trip as follows: She will spend 3 days in Tegucigalpa, 2 days in San Pedro Sula, and 4 days in La Ceiba. She has budgeted 200 Honduran Lempiras per day for food and 150 Lempiras per day for transportation in each city.How much total money in Lempiras will Maria need for food and transportation combined for her entire trip?
answer:To solve this problem, we need to calculate the total cost of food and transportation for each city Maria plans to visit, and then sum these costs.1. Calculate the daily costs: - Daily cost for food: 200 Lempiras - Daily cost for transportation: 150 Lempiras - Total daily cost = 200 + 150 = 350 Lempiras per day2. Calculate the total cost for each city: - Tegucigalpa: - Days spent: 3 - Total cost in Tegucigalpa = 3 days * 350 Lempiras/day = 1050 Lempiras - San Pedro Sula: - Days spent: 2 - Total cost in San Pedro Sula = 2 days * 350 Lempiras/day = 700 Lempiras - La Ceiba: - Days spent: 4 - Total cost in La Ceiba = 4 days * 350 Lempiras/day = 1400 Lempiras3. Calculate the total cost for the entire trip: - Total cost = Cost in Tegucigalpa + Cost in San Pedro Sula + Cost in La Ceiba - Total cost = 1050 Lempiras + 700 Lempiras + 1400 Lempiras = 3150 LempirasThe total money Maria will need for food and transportation combined for her entire trip is:# 3150 Lempiras
question:Emma is a young patient with a chronic illness that requires her to visit the doctor regularly. Thanks to a new technology developed by a startup, her physician can monitor her health more effectively, reducing her clinic visits from 12 times a month to just 4 times a month. Each clinic visit costs Emma's family 30. If Emma originally had to visit the clinic for 3 months before the technology was implemented, how much money did her family save in clinic visit costs over those 3 months thanks to the new technology?
answer:To solve the problem, we need to calculate the total cost of clinic visits before and after the implementation of the new technology, and then find the difference to determine the savings.1. Calculate the original number of clinic visits per month: - Emma originally had 12 clinic visits per month.2. Calculate the total number of visits over 3 months before the technology: - Number of visits in 3 months = 12 visits/month × 3 months = 36 visits.3. Calculate the cost of clinic visits before the technology: - Cost per visit = 30 - Total cost before technology = 36 visits × 30/visit = 1,080.4. Calculate the reduced number of clinic visits per month after the technology: - Emma now has 4 clinic visits per month.5. Calculate the total number of visits over 3 months after the technology: - Number of visits in 3 months = 4 visits/month × 3 months = 12 visits.6. Calculate the cost of clinic visits after the technology: - Total cost after technology = 12 visits × 30/visit = 360.7. Calculate the savings in clinic visit costs: - Savings = Total cost before technology - Total cost after technology - Savings = 1,080 - 360 = 720.Thus, the family saved 720 in clinic visit costs over the 3 months thanks to the new technology.# 720
question:Jamie is a stay-at-home parent who loves cooking with fresh, organic ingredients for their family. Every week, Jamie visits the local farmer's market to buy ingredients. This week, Jamie bought 3 pounds of organic apples at 2 per pound, 2 pounds of fresh carrots at 1.50 per pound, and 4 pounds of organic chicken at 6 per pound. Jamie also bought a jar of honey for 5. How much did Jamie spend in total on these fresh, organic ingredients?
answer:To solve the problem, we need to calculate the total cost for each item Jamie purchased and then sum these amounts to find the total expenditure.1. Cost of Apples: - Jamie bought 3 pounds of apples at 2 per pound. - Cost of apples = 3 pounds × 2 per pound = 6.2. Cost of Carrots: - Jamie bought 2 pounds of carrots at 1.50 per pound. - Cost of carrots = 2 pounds × 1.50 per pound = 3.3. Cost of Chicken: - Jamie bought 4 pounds of chicken at 6 per pound. - Cost of chicken = 4 pounds × 6 per pound = 24.4. Cost of Honey: - Jamie bought a jar of honey for 5. - Cost of honey = 5.5. Total Expenditure: - Sum the costs of all items: 6 (apples) + 3 (carrots) + 24 (chicken) + 5 (honey) = 38.#38
question:A dedicated American zoologist, who admires the work of Kathleen Lavoie, is conducting a study on bats in a local cave. During her study, she finds that there are 250 bats in the cave, and she observes that every hour, 15 bats leave the cave to search for food while 10 bats return from their nightly hunt. If she starts her observation at 8 PM, how many bats will be in the cave by 11 PM?
answer:To solve this problem, we can calculate the net change in the number of bats in the cave per hour and then apply it over the given period.1. Initial number of bats: There are 250 bats in the cave initially.2. Hourly change in bats: - Bats leaving the cave every hour = 15 - Bats returning to the cave every hour = 10 - Net change per hour = Bats leaving - Bats returning = 15 - 10 = 5 bats leave per hour.3. Total duration of observation: The observation starts at 8 PM and ends at 11 PM. The duration is: - From 8 PM to 9 PM = 1 hour - From 9 PM to 10 PM = 1 hour - From 10 PM to 11 PM = 1 hour - Total duration = 3 hours4. Calculate the total change in bats over 3 hours: - Net change per hour = 5 bats leave - Total change over 3 hours = 5 bats/hour * 3 hours = 15 bats leave5. Final number of bats in the cave: - Initial number of bats = 250 - Bats that left over 3 hours = 15 - Final number of bats = Initial bats - Bats that left = 250 - 15 = 235Therefore, the number of bats in the cave by 11 PM is 235.# 235
question:Maria, a proud alumna of Divine Savior Holy Angels High School (DSHA), is organizing a charity bake sale at her local Catholic community center. She plans to bake cookies and cupcakes to raise funds for a community project. Maria decides to bake 150 cookies and 80 cupcakes. The cost of ingredients for each cookie is 0.50, and the cost for each cupcake is 0.75. She plans to sell each cookie for 1 and each cupcake for 1.50.Calculate how much money Maria will make in total from selling all the cookies and cupcakes, and then determine her total profit after subtracting the cost of the ingredients.
answer:To solve this problem, we need to calculate both the total revenue from sales and the total cost of the ingredients, and then find the profit by subtracting the total cost from the total revenue.Step-by-Step Solution:1. Calculate the total revenue from selling cookies and cupcakes: - Revenue from cookies: [ text{Number of cookies} times text{Selling price per cookie} = 150 times 1 = 150 text{ dollars} ] - Revenue from cupcakes: [ text{Number of cupcakes} times text{Selling price per cupcake} = 80 times 1.50 = 120 text{ dollars} ] - Total revenue: [ text{Total revenue} = text{Revenue from cookies} + text{Revenue from cupcakes} = 150 + 120 = 270 text{ dollars} ]2. Calculate the total cost of ingredients for cookies and cupcakes: - Cost of ingredients for cookies: [ text{Number of cookies} times text{Cost per cookie} = 150 times 0.50 = 75 text{ dollars} ] - Cost of ingredients for cupcakes: [ text{Number of cupcakes} times text{Cost per cupcake} = 80 times 0.75 = 60 text{ dollars} ] - Total cost of ingredients: [ text{Total cost} = text{Cost of cookies} + text{Cost of cupcakes} = 75 + 60 = 135 text{ dollars} ]3. Calculate the total profit: - Profit is the difference between total revenue and total cost: [ text{Profit} = text{Total revenue} - text{Total cost} = 270 - 135 = 135 text{ dollars} ]#135