2:1
Step-by-step explanation:
List all variables
Total people=120
year 11 students=120/2=60
year 10 students=60/3=20
subtract year 10 and 11 students from the total to get the number of year 9 students
year 9 students=120-60-20
=40
year9:year10
40:20
2:1
Value of variable 'n' as per the given condition number of 9 year students : number of 10 year students = n:1 is equals to 2.
" A variable is defined as the quantity which represents the change in value as per the given condition in a mathematical problem."
According to the question,
Total number of students in school = 120
As per the conditions given we have,
Number of 11 year students = [tex]\frac{120}{2}[/tex]
= 60 people
Number of 11year students = 3 × ( Number of 10 year students)
⇒Number of 10 year students = [tex]\frac{Number of 11 year students}{3}[/tex]
= [tex]\frac{60}{3}[/tex]
= 20 people
Number of (11year + 10year + 9year ) students = 120
⇒ 60 + 20 + Number of 9 year students =120
⇒Number of 9 year students = 120 - 80
= 40 people
Substitute the value in the given condition to get the value of the variable we get,
Number of 9 year students : Number of 10 year students = n:1
⇒40 : 20 = n: 1
⇒n = 2
Hence, value of variable 'n' as per the given condition number of 9 year students : number of 10 year students = n:1 is equals to 2.
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