King Euler’s Blueprint
At a recent math conference, lunch was provided for the participants. To be sure that there was enough food for everyone, the kitchen staff made more lunches than there were people attending. In fact, the ratio of prepared lunches to people was 7:5.
Because they anticipated a large number of vegetarians at the conference, the staff made 2 vegetarian lunches for every 3 non-vegetarian lunches.
It turned out that the ratio of non-vegetarians to vegetarians at the conference was 3:4.
Our son Specialist Lee Alejandre wished us a “Happy New Year!” from his Army post overseas using his iSight camera and iChat AV connection. It was 12:01 am, January 1, for us in Philadelphia, PA, but it was 2:01 pm for him in Seoul, South Korea!
My husband and I were talking about the time zones. I looked on the web and found that Philadelphia is about 203 degrees of longitude west of Seoul. Once we realized that there are 360 degrees of longitude and there are 24 hours in a day, we understood why there is a 14 hour difference in time.
Harriet was wondering what might be the least number of area codes necessary to guarantee that for each phone in Pennsylvania there will be a distinct phone number. She determined that there are approximately 30 million phones in the state (this includes cell phones).
The students in Mrs. Garcia’s class get a star each time they give a book talk to their class.
In September, Juanita earned 4 stars. Matt earned 2 more stars than Juanita.
Maria received 4 more stars than Matt. Brian got half as many stars as Maria.
I had a collection of five pennies. The dates on them were:
After I added one more penny to my collection, the mean date changed.
On Thanksgiving Thursday, Carissa ate some cranberries. The next day she couldn’t stop thinking about how good the cranberries were and ate seven more cranberries than she had eaten on Thursday.
Each day after that she ate seven more cranberries than the day before. By the following Wednesday night she had eaten a total of 161 cranberries for the whole week.
What do you notice in the story below? What are you wondering about? Leave a comment to tell us your thoughts!
A line is drawn from the origin that cuts the square into two sections whose areas are in a ratio of 2:1.