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 :)
the question is incomplete.but the no of students will be 10 times of the teachers
wait i think it could be 121
put x = number of teachers. then number of students is 10x and therefore the total is 11x
1:10 Multiply both sides by 11 11:110 11+110 = 121
so we need the total to be divisible by 11 yes? no fractional people
sure it could of course be any number. it does not have to be 121
it could be 33, (3 teachers, ten students) or 1100 but whatever it is it must be divisible by 11
But why 11 ?
data insufficent!:)
why does it have to be divisible by eleven? because for every one teacher you have ten students. that makes eleven.
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
1 teacher 10 students 11 total 2 teachers 20 students 22 total 3 teachers 30 students 33 total etc
@ mr knowledgeable, question asks Which of the following COULD be the total number of teachers and students ?
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 !!!!!
Oooooo okay then I get it thanks :D So grateful for your help :]
what harkirat said.
Hewy ccardenas, Hope the explanation was clear !!! Pls click the GOOD ANSWER button if u r satisfied :)
harkirat seems to be right.Applause!
I did an for satellite73 also :D
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