[Question]Sam works at the Widget Factory, assembling Widgets. He can assemble 1 widget every 10 minutes. Jack from the loading dock can help assemble widgets when he doesn't have anything else to do. When he helps, they put together 2 complete widgets every 15 minutes. Recently the factory hired Tony to help assemble widgets. Being new to the job, he doesn't work as fast as Sam or Jack. Yesterday Sam worked for 6 hours before he had to leave work early for a dentist appointment. Jack was able to help out for 4 hours before he had to go back to the loading dock to unload a new shipment of widget materials. Tony worked the entire 8-hour shift. At the end of the day, they had completed 68 widgets. How long does it take Tony to assemble a Widget, in minutes?
[Answer]Sam completes a widget every 10 minutes. When Jack helps they finish 2 in 15 minutes. Sam has finished 1 widget and has begun working on another one, and Jack finishes the second one at 15 minutes. So it takes Jack 15 minutes to complete a widget. Sam worked for 6 hours yesterday, so he was able to complete 6 hours * 60 minutes per hour / 10 minutes per widget = 36 widgets. Jack worked for 4 hours, so he was able to complete 4 hours * 60 minutes per hour / 15 minutes per widget = 16 widgets. Sam, Jack, and Tony were able to complete 68 widgets together. So of those, Tony personally completed 68 widgets - 36 widgets - 16 widgets = 16 widgets. It took Tony 8 hours to complete those 16 widgets, so he takes 8 hours * 60 minutes per hour / 16 widgets = 30 minutes per widget. The answer is 30.
Q: Sandy bought 1 million Safe Moon tokens. She has 4 siblings. She wants to keep half of them to herself and divide the remaining tokens among her siblings. After splitting it up, how many more tokens will she have than any of her siblings?
A: She will keep 1000000 / 2 = 500000 Safe Moon tokens for herself. For the remaining siblings, they will each receive 500000 / 4 = 125000 tokens. This means that Sandy will have 500000 - 125000 = 375000 tokens more than any of her siblings. The answer is 375000.
Question: Apple sold 100 iPhones at their New York store today for an average cost of $1000. They also sold 20 iPads for an average cost of $900 and 80 Apple TVs for an average cost of $200. What was the average cost across all products sold today?
Answer: The sales for iPhones were 100 iPhones * $1000 per iPhone on average = $100,000. The sales for iPads today were 20 iPads * $900 per iPad = $18,000. The sales for Apple TV’s today were 80 * $200 = $16,000. The total sales for Apple at their New York store today was $100,000 + $18,000 + $16,000 = $134,000. The total number of products sold was 100 + 20 + 80 = 200. The average cost per product sold was $134,000 total sales / 200 total products = $670. The answer is 670.
[Question]Jeff spends three times as many hours on the weekend catching up with his Facebook pals as he does working. Monday through Friday, however, he spends four times as many hours working as he does catching up. If he spends 3 hours every day catching up, how many hours does he spend working in an entire week?
[Answer]On the weekend, Jeff works 3 / 3 = 1 hour each day. On the weekdays, he spends 4 * 3 = 12 hours working each day. Thus, he spends 2 * 1 + 5 * 12 = 62 hours working each week. The answer is 62.
Q: John gets a bonus that's the same percentage every year. Last year he made $100,000 and got a $10,000 bonus. This year he makes $200,000. How much will John make this year when adding both his total pay and bonus together?
A: First we need to determine the bonus percentage, which is found by dividing the bonus amount by the amount John made for the year, taking 10,000 / 100,000 = .10, or 10 percent. Then, we take John's earnings from this year and multiply them by the same percentage, taking 200,000 * .1 = 20,000 dollars in bonuses. We then add these two numbers together, for a total of 200,000 + 20,000 = 220,000 dollars. The answer is 220000.
Question: Amiyah is cutting some trees to build a cow shade. For every tree she cuts, she plants 5 new trees. If there were 400 trees on her farm and she cut 20% of them, calculate the total number of trees on the farm.
Answer:
The number of trees that Amiyah cut is 20 / 100 * 400 = 80. The number of trees remaining on the farm after she cut 80 trees is 400 - 80 = 320. For every tree that Amiyah cut, she plants 5 new trees, and since she cut 80 trees, she planted 80 * 5 = 400 new trees. The total number of trees on the farm is now 320 + 400 = 720 trees. The answer is 720.