A teacher tells 6 students the title of the next school play. Those 6 students each tell the title to 6 students. Then those additional students each tell the title to 6 students. How many students have been told the title of the next play?
Answer: 6^3 = 216
teacher tells 6 students
each of those tells 6 more, for 36 brand-new people.
But the total is now the original 6 plus the 36 new ones.
And so on for each generation. Yiu are correct in saying that next time, there were 6^3 = 216 new people told, but the original 6 and the next 36 have also been told, right?
258 is my answer
6+36+216
Don't forget the people doing the telling!
I still don't understand where 6 and 36 come from. Seem like the numbers of students are doubled. Please explain in better details.
Okay.I see it
Oh yeah I forgot! Just going over my homework once again.
To find the total number of students who have been told the title of the next play, we need to calculate the number of students in each level of communication and then add them up.
In the first level, the teacher tells the title of the play to 6 students.
In the second level, each of those 6 students tells the title to 6 more students. So, there are 6 students in the first level and each of them tells the title to 6 students in the second level, resulting in 6 x 6 = 36 students in the second level.
In the third level, each of the 36 students from the second level tells the title to another set of 6 students. So, there are 36 students in the second level and each of them tells the title to 6 students in the third level, resulting in 36 x 6 = 216 students in the third level.
To find the total number of students who have been told the title of the next play, we add up the number of students in each level: 6 + 36 + 216 = 258.
Therefore, a total of 258 students have been told the title of the next school play.