Question

27.
18% of the students at a school are in
year 8, and 16% of the students are in
year 9. If the school has 126 year 8
students. Determine the number of
year 9 students.​

Answer 1

Answer:

112

Step-by-step explanation:

Let the total number of students be "x"

The percentage of students in year 8 is 18 and the number of students in year 8 is 126, so

18/100x = 126

x = 126 × 100/18

  = 7 × 100/1

  = 700

Now that we know the total number of students is 700 ,we should find out 16% of it to know the number of year 9 students.

Therefore number of year 9 students = 16/100 × 700

                                                                 = 16/1 × 7

                                                                 = 112

Answer 2

Given : 18% Of the student at a school are in year 8, and 16 % of the students are In year 9,  

the school has 126 year 8 students,

To Find : the number of year 9 students​

a. 108

b. 110

c. 112

d. 114​

Solution:

Let say Total Students  = 100P

18% Of the student at a school are in year 8

=> (18/100)100P = 18P

school has 126 year 8 students,

=> 18P  = 126

=> P = 7

=> 100P = 700

Hence total Students = 700  

16 % of the students are In year 9

number of year 9 students​ = (16/100)700  = 112

112 Students are in year 9

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