A community for students.
Here's the question you clicked on:
 0 viewing
dtan5457
 one year ago
A group of students met in the lobby of their school. First, 1/3 of the students were sent to the gym. Then, 1/3 of the remaining students were sent to the cafeteria. Finally, 1/3 of the students still in the lobby were sent to the auditorium, and all the remaining students were sent home. Which of the following could not have been the number of students who originally met in the school lobby?
81
135
162
207
243
dtan5457
 one year ago
A group of students met in the lobby of their school. First, 1/3 of the students were sent to the gym. Then, 1/3 of the remaining students were sent to the cafeteria. Finally, 1/3 of the students still in the lobby were sent to the auditorium, and all the remaining students were sent home. Which of the following could not have been the number of students who originally met in the school lobby? 81 135 162 207 243

This Question is Closed

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0let no. of students=x students sent to the gym=x/3 students remaining=xx/3=2x/3 students sent to cafteria\[=\frac{ 1 }{ 3 }\times \frac{ 2x }{ 3 }=\frac{ 2x }{ 9 }\] remaining students\[=\frac{ 2x }{ 3 }\frac{ 2x }{ 9 }=\frac{ 4x }{ 9 }\] students sent to auditorium\[=\frac{ 1 }{ 3 }\times \frac{ 4x }{ 9 }=\frac{ 4x }{ 27 }\] students sent home\[=\frac{ 4x }{ 9 }\frac{ 4x }{ 27 }=\frac{ 8x }{ 27 }\] as no. of students is a natural no. so x should be a multiple of 27 81=27*3 135=27*5 162=27*6 207= 23*9 243=27*9 so 207 is not a multiple of 27 hence 207 is the reqd. no. of students
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.