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question：Ms. Lisa, a dance teacher with 15 years of experience, loves to document her students' progress through photos and videos. Every month, she takes 20 photos and 15 videos of her dance class performances. At the end of 6 months, she reviews all the visual materials to see the incredible growth of her students. How many total photos and videos does Ms. Lisa have at the end of the 6 months?
answer：First, I need to determine the total number of photos Ms. Lisa takes in 6 months. She takes 20 photos each month, so multiplying 20 by 6 gives 120 photos.Next, I calculate the total number of videos she takes. She takes 15 videos each month, so multiplying 15 by 6 results in 90 videos.Finally, to find the total number of visual materials, I add the total photos and total videos together: 120 photos + 90 videos = 210 visual materials.
question：Emily organizes a charity event to raise funds for her community. The event collects a total of 600. Emily sets aside 150 to cover the costs of venue rental and equipment. She then divides the remaining amount equally between the local children's hospital and the community library. Emily also decides to contribute 20 from her own savings to the children's hospital. How much money in total does Emily donate to the children's hospital?
answer：First, I need to determine the total amount of money raised at the charity event, which is 600.Next, Emily sets aside 150 to cover the costs of venue rental and equipment. I'll subtract this amount from the total to find out how much is left for donations.After covering the costs, the remaining amount is 450. Emily decides to divide this equally between the local children's hospital and the community library. I'll divide 450 by 2 to find out how much each organization receives from the event.The children's hospital receives 225 from the event. Additionally, Emily contributes 20 from her own savings to the children's hospital. I'll add this amount to the 225 to find the total donation to the children's hospital.Finally, the total amount Emily donates to the children's hospital is 245.
question：In a stationery box, there are 8 pencils. There are 5 more pens than pencils, and there are three times as many markers as pens and a quarter as many highlighters as pencils. After 3 of each writing tool is added to the box, how many writing tools are there in total?
answer：First, I identify the number of pencils, which is given as 8.Next, I calculate the number of pens. Since there are 5 more pens than pencils, I add 5 to the number of pencils: 8 + 5 = 13 pens.Then, I determine the number of markers. There are three times as many markers as pens, so I multiply the number of pens by 3: 13 × 3 = 39 markers.After that, I find out the number of highlighters. There are a quarter as many highlighters as pencils, so I divide the number of pencils by 4: 8 ÷ 4 = 2 highlighters.Before adding the new tools, the total number of writing tools is the sum of pencils, pens, markers, and highlighters: 8 + 13 + 39 + 2 = 62 tools.Then, I account for the addition of 3 of each writing tool. This adds 3 pencils, 3 pens, 3 markers, and 3 highlighters, totaling 12 additional tools.Finally, I add the new tools to the original total to find the final number of writing tools: 62 + 12 = 74 tools.
question：A graduate student named Alex is researching the long-term economic consequences on former colonies. As part of their research, Alex is analyzing the GDP growth of a former colony over the past decade. In the first five years, the GDP grew by an average of 3% per year. In the next five years, the growth rate increased to an average of 5% per year. If the GDP of the former colony was 100 billion at the start of the decade, what is the GDP at the end of the decade?
answer：First, I need to determine the GDP after the first five years with a 3% annual growth rate. Using the formula for compound growth, I'll calculate the GDP at the end of this period.Next, I'll use the GDP from the end of the first five years as the starting point for the next five years, applying the new growth rate of 5% per year. Again, I'll use the compound growth formula to find the final GDP after the entire decade.By performing these calculations step by step, I'll arrive at the GDP at the end of the ten-year period.
question：A financial institution is planning to migrate its data infrastructure to an engineer's scalable solution. The institution currently processes 1,200 transactions per hour on their old system. The new solution can handle 3 times more transactions per hour. If the migration process is expected to take 5 hours to complete and during this time the transactions will be processed on both systems, how many transactions in total will the institution process during the migration period?
answer：First, I need to determine the transaction processing capacity of both the old and new systems.The old system processes 1,200 transactions per hour. The new system can handle three times that amount, which is 3,600 transactions per hour.During the migration, both systems will be processing transactions simultaneously for 5 hours.To find the total transactions processed by the old system during the migration, I multiply its hourly capacity by the number of hours: 1,200 transactions/hour * 5 hours = 6,000 transactions.Similarly, for the new system, I multiply its capacity by the same duration: 3,600 transactions/hour * 5 hours = 18,000 transactions.Finally, I add the transactions processed by both systems to get the total number of transactions during the migration: 6,000 + 18,000 = 24,000 transactions.
question：Mr. Thompson, a local business owner, wants to create a partnership between his business and the nearby school. He plans to donate school supplies every month. If Mr. Thompson donates 25 notebooks each month and wants to partner with 4 different local businesses to do the same, how many notebooks will be donated to the school in total over a period of 6 months?
answer：First, determine the number of notebooks Mr. Thompson donates each month, which is 25.Next, consider the number of businesses participating in the partnership, including Mr. Thompson's business, making a total of 5 businesses.Each business donates the same amount, so multiply the number of notebooks per business by the number of businesses: 25 notebooks/month × 5 businesses = 125 notebooks/month.Finally, calculate the total donation over 6 months by multiplying the monthly total by the number of months: 125 notebooks/month × 6 months = 750 notebooks.