Respuesta :
Answer: there are 14 boys and 16 girls in the class.
Step-by-step explanation:
Let x represent the number of boys in the maths class.
Let y represent the number of girls in the maths class.
There are 30 students in the math class. This means that
x + y = 30 - - - - - - - - - - - - - - -1
There are 6 more boys than 1/2 the number of girls. This means that
x = y/2 + 6
Substituting x = y/2 + 6 into equation 1, it becomes
y/2 + 6 + y = 30
Cross multiplying by 2, it becomes
y + 12 + 2y = 60
y + 2y = 60 - 12
3y = 48
y = 48/3 = 16
Substituting y = 16 into x = y/2 + 6, it becomes
x = 16/2 + 6 = 8 + 6
x = 14
