A class has less than 30 students
Exactly 3/4 of them own footballs
Exactly 7/8 of them own football boots.

i)How many students are there in the class?
ii)How many students own both football boots and footballs?

Question

A class has less than 30 students
Exactly 3/4 of them own footballs
Exactly 7/8 of them own football boots.

i)How many students are there in the class?
ii)How many students own both football boots and footballs?

mathslover · Answer

any positive number less than 30 and divisible by 8 can be the total number of students ...

mathslover · Answer

hence we have :

8 , 16 , 24 right?

hartnn · Answer

since exactly word comes,number of stu are multiple of 8...so 8,16,24...

anonymous · Answer

why it is like that @mathslover

mathslover · Answer

if we have 8 in class then 
3/4 * 8 = 6 --> balls
7/8 * 8 = 7 --> boots

hartnn · Answer

which is impossible! mathlover :P

hartnn · Answer

so amswer must be 24!

mathslover · Answer

wrong @hartnn

mathslover · Answer

it is right .. may be that some have both

mathslover · Answer

hence 7+6 - 8  = 5 

that is 5 have both

mathslover · Answer

@KingAditya r u getting this?

hartnn · Answer

yes,if we consider that we cannot come up to unique solution...

anonymous · Answer

ya @mathslover

mathslover · Answer

..now can u do for 16 and 24 also?

mathslover · Answer

any problem in between ?