Class 6M and Class 6N have a total of 119 students. ¹₆ of the students in Class 6M and ⁶₁₁ of the students in Class 6N are girls. The number of boys in Class 6M is equal to the number of boys in Class 6N. Find the total number of boys in the 2 classes.
Fraction of Class 6M that are boys
= 1 - ¹₆ 
= ⁵₆

Fraction of Class 6N that are boys
= 1 - ⁶₁₁ 
= ⁵₁₁ 
 
The number of boys in Class 6M is equal to the number of boys in Class 6N.

The numerators are the same.  

⁵₆ Class 6M = ⁵₁₁ Class 6N 

Number of students in Class 6M = 6 u
Number of students in Class 6N = 11 u

Total number of students 
= 6 u + 11 u
= 17 u

17 u = 119

1 u = 119 ÷ 17 = 7

Number of boys in Class 6M =5 u
Number of boys in Class 6N =5 u

Total number of boys
= 5 u + 5 u
= 10 u
= 10 x 7
= 70

Answer(s): 70