A class has less than 30 students.
Exactly \(\frac{3}{4}\) of them own footballs.
Exactly \(\frac{7}{8}\) of them own football boots.
i) How many students are there in the class?
ii) How many students own both football boots and footballs?
Answer (2)
a class has **LESS THAN **30 students we must find what number is less than 30 and divides into both 4 and 8 so that we don't have a fraction of a student owning a football boot the class could have 8 students the class could have 16 students the class could have 24 students lets assume that the class has the max possible so 24 in the class
so we must find a coommon denomenator (bottom number) to keep the fractions the same we must multiply it by 1 or (number)/(same number as on top) or 1/1 so 3/4 times 2/2=6/8 7/8 so we must assume that the ones who own footballs also have boots (and not some other random person) so 6/8 or 3/4 of the class owns both football boots so 3/4 times 24=18 18 students own football boots
The class has 24 students, with 18 owning footballs and 21 owning football boots. Based on calculations, approximately 7 students own both items. This fits the criteria of the fractions given in the problem.
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