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Ashley recently opened a store that uses only natural ingredients. She wants to advertise her products by distributing bags of samples in her neighborhood. It takes one person (2)/(3) of a minute to prepare one bag. How many hours will it take Ashley and 4 of her friends to prepare 1575 bags of samples? hours

Ashley recently opened a store that uses only natural ingredients. She wants to advertise her products by distributing bags of samples in her neighborhood. It takes one person 23 \frac{2}{3} of a minute to prepare one bag.\newlineHow many hours will it take Ashley and 44 of her friends to prepare 15751575 bags of samples?\newlinehours

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Q. Ashley recently opened a store that uses only natural ingredients. She wants to advertise her products by distributing bags of samples in her neighborhood. It takes one person 23 \frac{2}{3} of a minute to prepare one bag.\newlineHow many hours will it take Ashley and 44 of her friends to prepare 15751575 bags of samples?\newlinehours
  1. Determine Time per Bag: First, we need to determine the total time it takes one person to prepare one bag of samples. According to the problem, it takes (2)/(3)(2)/(3) of a minute to prepare one bag.
  2. Calculate Total Time for 15751575 Bags: Next, we need to calculate the total time it would take one person to prepare 15751575 bags. We do this by multiplying the time it takes to prepare one bag by the total number of bags: (23)(\frac{2}{3}) minute/bag ×1575\times 1575 bags.
  3. Consider Multiple Workers: Performing the multiplication, we get (23)×1575=1050(\frac{2}{3}) \times 1575 = 1050 minutes. This is the total time it would take one person to prepare 15751575 bags.
  4. Find Total Time for 55 People: Now, we need to consider that Ashley is not working alone; she has 44 friends helping her. This means there are a total of 55 people working together (Ashley plus her 44 friends).
  5. Convert Total Time to Hours: To find the total time it will take all 55 people working together, we divide the total time for one person by the number of people: 10501050 minutes // 55 people.
  6. Convert Total Time to Hours: To find the total time it will take all 55 people working together, we divide the total time for one person by the number of people: 10501050 minutes / 55 people.Performing the division, we get 1050/5=2101050 / 5 = 210 minutes. This is the total time it will take for Ashley and her 44 friends to prepare 15751575 bags when working together.
  7. Convert Total Time to Hours: To find the total time it will take all 55 people working together, we divide the total time for one person by the number of people: 10501050 minutes / 55 people.Performing the division, we get 1050/5=2101050 / 5 = 210 minutes. This is the total time it will take for Ashley and her 44 friends to prepare 15751575 bags when working together.Finally, we need to convert the total time from minutes to hours because the question asks for the answer in hours. There are 6060 minutes in an hour, so we divide the total minutes by 6060: 210210 minutes / 6060 minutes/hour.
  8. Convert Total Time to Hours: To find the total time it will take all 55 people working together, we divide the total time for one person by the number of people: 10501050 minutes / 55 people.Performing the division, we get 1050/5=2101050 / 5 = 210 minutes. This is the total time it will take for Ashley and her 44 friends to prepare 15751575 bags when working together.Finally, we need to convert the total time from minutes to hours because the question asks for the answer in hours. There are 6060 minutes in an hour, so we divide the total minutes by 6060: 210210 minutes / 6060 minutes/hour.Performing the division, we get 210/60=3.5210 / 60 = 3.5 hours. This is the total time it will take for Ashley and her 44 friends to prepare 15751575 bags of samples in hours.

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