Question

This question is stupid, but I still can't do it! Can you explain this to me?
A class has less than 30 students
Exactly 3/4 of them own footballs
Exactly 7/8 of them own football boots.

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

Answer 1

I did some work but I am stock on it... I'll show what I did......

Answer 2

Let x represent number of students in class.
x<30

Students that own footballs
x=<22

Students that own football boots
x=<26

This is not the answer, but Am I correct?

Answer 3

YEah forgot, the answer choices. If that matters....
8
16
24
29

Answer 4

this is a strange question. But if you have exactly 7/8 own boots, that means the number in the class must be evenly divisible by 8, otherwise you will get a fraction of a student, and that is not allowed.

for example, if the number were 25, 7/8 of 25 is 21 and 7/8

if we list the numbers between 0 and 30 that can be divided by 8 we get
8, 16, 24

notice that all 3 of those numbers are also evenly divisible by 4. so any of the three could be the class size.

Answer 5

Any?

Answer 6

So it is A B and C?

Answer 7

I really though that it is not enough information for the second question.

Answer 8

And thank You I get it totally!

Answer 9

I don't understand the question, unless it is has multiple answers

if the class was 24, then we know we have 21 own boots and 3 without boots
18 own footballs. Between 15 and 18 could own both boots and footballs (the answer is a range)

Answer 10

I don't either.