Here's a Fall 2013 solution from Donna Lasher,
the teacher of a talented young class from (I think) San Antonio, Texas.

Hello!
My class believes we have solved the KING MIDDLE SCHOOL problem.
We think there are 48 teachers, 6 groups of 8 teachers.
For each of the 6 periods, 5 groups of teachers are teaching, which makes 40,
while one group of teachers has an off period.

Thanks to All of you in Ms. Lasher's class!
I think I understand your solution.
But, readers and solutioncheckers, is it convincing?
Can you see how they did it and why they think their solution is correct?
What do you suppose they mean by "groups" of teachers?
Then, imagine an extension problem: suppose the state thought 30 students was too many in a class.
They pass a law that says the maximum class size is now 24.
How many new teachers do they have to hire?

back to the Get it Together Answer Book page
last updated
November 16, 2013

