a factory has 161 workers. there are 92 more males than females. Let x represent the number of males and let y represent the number of females. write a system of equations to represent this situation.

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