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Answer:
a) (i) 1200
b) (ii) 3750
c) (i) [tex]\frac{3}{20}[/tex]
Step-by-step explanation:
a) Total number of students = 5000
Ratio of teachers to students = 6 : 25
i) Number of teachers = ?
By the given ratio, we can let the number of teachers = 6[tex]x[/tex]
and we can let the number of students = 25[tex]x[/tex]
[tex]25x = 5000\\\Rightarrow x = 200[/tex]
Therefore, number of teachers = 6 [tex]\times[/tex] 200 = 1200
b) A Quarter of the students own i-phone classic 20.
ii) Number of students who do not own an i-phone classic?
As per question statement,
Number of students who own i-phone classic 20 = [tex]\frac{1}{4}\times 5000[/tex] = 1250
Number of students who do not own i-phone classic 20 = 5000 - 1250 = 3750
c) Number of students who own samsung galaxy a80s = 60% of students who own i-phone classic 20 = [tex]\frac{60}{100}\times 1250[/tex] = 750
Fraction of students who own samsung galaxy a80s = Number of students having samsung a80s divided by total number of students
[tex]\dfrac{750}{5000} = \dfrac{3}{20}[/tex]