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Mathematics 15 Online
OpenStudy (anonymous):

At a certain school the ratio of teachers to students is 1 to 10. Which of the following could be the total number of teachers and students ? a.100 b.121 c.222 d.1,011 I need a good but simple explaination :)

OpenStudy (anonymous):

the question is incomplete.but the no of students will be 10 times of the teachers

OpenStudy (anonymous):

wait i think it could be 121

OpenStudy (anonymous):

put x = number of teachers. then number of students is 10x and therefore the total is 11x

OpenStudy (anonymous):

1:10 Multiply both sides by 11 11:110 11+110 = 121

OpenStudy (anonymous):

so we need the total to be divisible by 11 yes? no fractional people

OpenStudy (anonymous):

sure it could of course be any number. it does not have to be 121

OpenStudy (anonymous):

it could be 33, (3 teachers, ten students) or 1100 but whatever it is it must be divisible by 11

OpenStudy (anonymous):

But why 11 ?

OpenStudy (anonymous):

data insufficent!:)

OpenStudy (anonymous):

why does it have to be divisible by eleven? because for every one teacher you have ten students. that makes eleven.

OpenStudy (anonymous):

see ratio means that both numbers have been divided by same factor to change them to lowest form so if they r multiplied by the same no then we get the original numbers

OpenStudy (anonymous):

1 teacher 10 students 11 total 2 teachers 20 students 22 total 3 teachers 30 students 33 total etc

OpenStudy (anonymous):

@ mr knowledgeable, question asks Which of the following COULD be the total number of teachers and students ?

OpenStudy (anonymous):

as per given ratio, for every teacher there are 10 students means their total works out to 11 So if no of students is X then no of teachers is 10x so x+10x = 11x Which means the total number has to be divisible by 11 ouit of the given choices only 121 is divisible by 11 !!!!!

OpenStudy (anonymous):

Oooooo okay then I get it thanks :D So grateful for your help :]

OpenStudy (anonymous):

what harkirat said.

OpenStudy (anonymous):

Hewy ccardenas, Hope the explanation was clear !!! Pls click the GOOD ANSWER button if u r satisfied :)

OpenStudy (anonymous):

harkirat seems to be right.Applause!

OpenStudy (anonymous):

I did an for satellite73 also :D

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