Respuesta :
The system of equations to represent this situation is:
x - y = 92
x + y = 161
Solution:
Given that a factory has 161 workers
Let "x" represent the number of males
Let "y" represent the number of females
We have to write a system of equations to represent this situation
Given that there are 92 more males than females. So we can frame a equation as:
Number of males = 92 + number of females
x = 92 + y --- eqn 1
x - y = 92
Total number of workers in factory = Number of males + number of females
161 = x + y
Substitute eqn 1 in above expression
161 = 92 + y + y
161 - 92 = 2y
2y = 69
y = 34.5 ≈ 35
Therefore from eqn 1 ,
x = 92 + 35
x = 127
Thus the number of males is 127 and number of females is 35
Thus the system of equations used are:
x - y = 92
x + y = 161
