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Archive for November 9th, 2007


Ishant’s Mathcast

Friday, November 9th, 2007
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  Here is a new math problem for you to solve.  After you’ve come up with a solution, watch Ishant’s mathcast video and see if you agree with his solution.  Is it correct? Is it efficient?  Did you approach the problem differently, but arrive at the same solution?  Send us your thoughts and solutions!  

Tracking Time  Ramik was asked how he spends his time during the week, starting from the time he gets home from school at 3:00 p.m. until he goes to bed at 10:00 p.m. He listed the following weekly after-school activities: 

  1. homework, studying, or reading
  2. spending time with friends
  3. eating
  4. chores
  5. music lessons
  6. soccer

He observed that:

  • He spends 50% of his time doing homework, studying, or reading.
  • He spends as much time doing chores as he does eating.
  • The amount of time he spends on music lessons equals 50% of the time he devotes to soccer each week.
  • Soccer practices are scheduled twice a week for 2 hours each time.
  • Each week, the amount of time he spends eating and doing chores combined equals the amount of time he spends on soccer.
  • The rest of his free time is spent with friends.

On average, how much time daily, in hours and minutes, does Ramik spend on each activity? For next week, if he reduces the amount of time he spends with friends by 50%, will he have enough time to fit in another soccer practice without taking any time from any other activities?

 

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