Question

In a factory, there are x technicians and y packers. The technicians are paid $100 per day and the packers are paid $60 per day. The total number of technicians and packers is 120. Their total wages per day is $8400.

(a) Write down an equation to represent the total number of technicians and packers in the factory.

b) Write another equation to represent the total wages of three employees by day. ​

Answer 1

(a) The total number of technicians and packers in the factory is given to be 120. Therefore, we can write the equation:

x + y = 120

where x represents the number of technicians and y represents the number of packers.

(b) The total wages of three employees - two technicians and one packer - is given by:

2($100) + 1($60) = $260

To find the total wages of all technicians and packers, we can use the fact that the total number of technicians and packers is 120, and their total wages per day is $8400. Therefore, we can write another equation:

2($100) x + 1($60) y = $8400

where 2($100)x represents the total wages of all technicians and 1($60)y represents the total wages of all packers.

Explanation: