Question

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. Which system of equations represents this situation?

Answer 1

x - y = 92 and x + y = 161 are the required system of equations represents this situation

Solution:

Given that factory has 161 workers

Let "x" represent the number of males and let "y" represent the number of females

There are 92 more males than females. Which means,

Number of males = 92 + number of females

x = 92 + y

On rearranging we get,

x - y = 92 ---- eqn 1

It is given that factory has 161 workers, which means number of males and females is equal to 161

Number of males + number of females = total workers

x + y = 161 ---- eqn 2

So eqn 1 and eqn 2 represents the system of equations for this situation

x - y = 92 and x + y = 161 are the required system of equations