Bill uses a seven-day pill container to keep track of his daily consumption. On the day after his pill container is empty, he doles out eight days worth of pills, seven days worth to go into his pill dispenser and the eighth day to take with breakfast.
Bill and his wife have a housekeeper who comes in every other Tuesday to do some light housework for them.If Bill filled his pill dispenser this Tuesday, February 21, 2006, on the same day that the housekeeper came to work, when will the next date be that she will be here and his pill dispenser will be full?
Solution to the Problem:
The answer is 56 days from February 21, or on April 18, 2006.
Bill fills his pill dispenser every eight days. His housekeeper comes every fourteen days. The next time that she will be there when his dispenser is full is the least common multiple of 8 and 14, which is 56.Correctly solved by:
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| 2. Sagar Patel | Columbus, Georgia |
| 3. Walt Arrison | Philadelphia, Pennsylvania |
| 4. Kshitij (Chris) Mehrotra | Elgin, Illinois |
| 5. David & Judy Dixon | Bennettsville, South Carolina |
| 6. Kunal Singh | Kendriya Vidyalaya Happy Valley, Shilong, India |
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| 15. Garrett H. Hix | Columbus, Georgia |
| 16. JOHN MANCARELLA | ---------- |
| 17. Lauren Coles | Chelmsford, Massachussetts |
| 18. Austin Ball | Columbus, Georgia |
| 19. Sarah Taylor | Loudoun County, Virginia |
| 20. Russell Beaty | Columbus, Georgia |
| 21. Julianne Harris | Winchester, Virginia |
| 22. Emily Stapp | Mountain View, Wyoming |
| 23. Carter Galbraith | Columbus, Georgia |
| 24. Sharina Smith | Newport News, Virginia |
| 25. John Spencer | Columbus, Georgia |
| 26. Kerry Barwick | ---------- |
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| 29. Laura Gronauer | Winchester, Virginia |
| 30. Tom Walters | Mountain View, Wyoming |
| 31. Bharvi Desai | Columbus, Georgia |
| 32. Ben Bassett | Sewell, New Jersey |
| 33. Justin Fernicola | Columbus, Georgia |
| 34. Noel Register | Mountain View, Wyoming |
| 35. Praveen Nandamuru | Columbus, Georgia |
| 36. Liz Blackwell | Harrisonburg, Virginia |
| 37. Maggie Morrison | Winchester, Virginia |
| 38. Rachel Pridgen | Columbus, Georgia |
| 39. Yassee Pirooz | Harrisonburg, Virginia |
| 40. Roni Egley | Mountain View, Wyoming |
| 41. Chantel Walker | Mountain View, Wyoming |
| 42. Amber Micheli | Mountain View, Wyoming |
| 43. Kelley Kolar | Winchester, Virginia |
| 44. Matt Arnsbrak | Winchester, Virginia |
| 45. Amanda Corsnitz | Winchester, Virginia |
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| 47. Lauren Ko | Winchester, Virginia |