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question：A senior social worker named Maria is working on a complex case involving multiple families. She needs to divide her time equally between 5 families in her care. Each family requires at least 3 hours of her guidance each week. Additionally, Maria wants to spend an extra 2 hours each week addressing ethical dilemmas that arise. If Maria can dedicate a total of 20 hours per week to these tasks, how many extra hours does she have to allocate for unexpected cases?
answer：First, I need to calculate the total time Maria spends on the five families. Each family requires at least 3 hours of her guidance, so for five families, that's 5 multiplied by 3, which equals 15 hours.Next, Maria wants to spend an extra 2 hours each week addressing ethical dilemmas. Adding that to the family time, the total time allocated is 15 hours plus 2 hours, totaling 17 hours.Maria has a total of 20 hours available each week for these tasks. To find out how many extra hours she has for unexpected cases, I subtract the allocated time from her total available time: 20 hours minus 17 hours equals 3 hours.Therefore, Maria has 3 extra hours to allocate for unexpected cases.
question：A famous Hollywood actress is planning to launch her own fragrance line. To start, she decides to create 3 different fragrances. She wants each fragrance to have an initial production of 500 bottles. Each bottle costs her 12 to produce. She also wants to set aside 3,000 for marketing her fragrance line. How much total money will she need to cover both the production of the bottles and the marketing cost?
answer：First, I need to determine the total number of bottles the actress plans to produce. She is creating 3 fragrances, each with an initial production of 500 bottles. So, the total number of bottles is 3 multiplied by 500, which equals 1500 bottles.Next, I'll calculate the total production cost. Each bottle costs 12 to produce, so multiplying the total number of bottles (1500) by the cost per bottle (12) gives a production cost of 18,000.Additionally, the actress has allocated 3,000 for marketing her fragrance line. To find the total amount of money she needs, I'll add the production cost and the marketing cost together: 18,000 plus 3,000 equals 21,000.
question：Emily is shopping for a new outfit. She buys a dress and a pair of shoes, spending a total of 48. If the dress costs 8 more than the shoes, how much does the dress cost, in dollars?
answer：First, I'll define the cost of the shoes as ( x ) dollars.Since the dress costs 8 more than the shoes, the cost of the dress will be ( x + 8 ) dollars.The total cost of the dress and shoes is 48, so I can set up the equation:( x + (x + 8) = 48 )Combining like terms gives:( 2x + 8 = 48 )Subtracting 8 from both sides:( 2x = 40 )Dividing both sides by 2:( x = 20 )Therefore, the cost of the dress is ( 20 + 8 = 28 ) dollars.
question：Emily and Olivia are planning a party for their classmates. Emily buys eight packs of cookies at 5 each pack and twelve bottles of juice at 3 each. Olivia orders seven sandwiches at 4 each and an additional twelve bottles of juice. How much do they spend in total?
answer：First, I'll calculate Emily's expenses. She buys 8 packs of cookies at 5 each, which totals 8 multiplied by 5, equaling 40. She also purchases 12 bottles of juice at 3 each, amounting to 12 times 3, which is 36. Adding these together, Emily spends 76 in total.Next, I'll determine Olivia's expenses. She orders 7 sandwiches at 4 each, totaling 7 multiplied by 4, which is 28. Olivia also buys 12 bottles of juice at 3 each, adding another 12 times 3, equaling 36. Therefore, Olivia spends 64 in total.Finally, to find the total amount spent by both Emily and Olivia, I'll add Emily's 76 and Olivia's 64, resulting in a combined expenditure of 140.
question：Mia is a biomedical engineer who is working with a biochemist named Dr. Lee. Together, they are developing a new type of biodegradable bandage. Dr. Lee has created a formula that requires 5 grams of a special polymer and 3 grams of a natural adhesive for each bandage. Mia must calculate how much of each material is needed to produce 200 bandages for a market test. Additionally, Mia needs to estimate how many total grams of materials are required for the full batch. What is the total amount of each material needed, and how many grams of materials are required in total to produce the 200 bandages?
answer：First, I need to determine the amount of each material required for one bandage. According to the problem, each bandage requires 5 grams of a special polymer and 3 grams of a natural adhesive.Next, I'll calculate the total amount of each material needed for 200 bandages. For the polymer, I'll multiply 5 grams by 200, which gives me 1000 grams. For the adhesive, I'll multiply 3 grams by 200, resulting in 600 grams.Finally, to find the total grams of materials required for the entire batch, I'll add the total grams of the polymer and the adhesive together. Adding 1000 grams and 600 grams gives a total of 1600 grams.
question：Ahmed is a middle-aged Muslim man living in a small town in Egypt. He is living on a strict budget and plans his expenses carefully. Each month, he needs to allocate his budget for the following expenses:1. Rent: 1,200 Egyptian pounds2. Groceries: 800 Egyptian pounds3. Utilities: 300 Egyptian pounds4. Transportation: 200 Egyptian pounds5. Savings for Eid celebrations: 100 Egyptian poundsAhmed earns 3,000 Egyptian pounds per month. After covering all these expenses, he wants to save the remaining amount for unexpected medical expenses. How much money can Ahmed save each month for unexpected medical expenses?
answer：To determine how much Ahmed can save for unexpected medical expenses, I'll start by calculating his total monthly expenses.First, I'll add up all his fixed expenses:- Rent: 1,200 EGP- Groceries: 800 EGP- Utilities: 300 EGP- Transportation: 200 EGP- Savings for Eid: 100 EGPAdding these together: 1,200 + 800 + 300 + 200 + 100 = 2,600 EGP.Next, I'll subtract the total expenses from his monthly income:3,000 EGP (income) - 2,600 EGP (expenses) = 400 EGP.Therefore, Ahmed can save 400 Egyptian pounds each month for unexpected medical expenses.