a) 8780
b) i) 1159 ii) 1990
c) 9611
a) The total number of workers at the beginning is 2340 + 3455 + 675 + 960 + 1350 = 8780 workers.
b)
i) The first two companies laid off 1 worker for every 5 workers, so for the first company (2340 workers) this means 2340/5 = 468 workers lost their job. For the second company (3455 workers) this means 3455/5 = 691 workers lost their job.
In total, 468 + 691 = 1159 workers lost their job.
ii) The other three companies recruited 2 new workers for every 3, so for the third company (675 workers) this means 6752/3 = 450 new workers were recruited. For the fourth company (960 workers) this means 9602/3 = 640 new workers were recruited. For the fifth company (1350 workers) this means 1350×(2/3) = 900 new workers were recruited.
In total, 450 + 640 + 900 = 1990 new workers were recruited.
c) The total number of workers finally is 8780 - 1159 + 1990 = 9611 workers.
The complete question is -
Five companies employed 2340, 3455, 675, 960, and 1350 workers. The first two companies laid off 1 worker for every 5 workers, while the other three recruited 2 new workers for every 3.
a) What was the total number of workers at the beginning?
b) How many people: i) Lost job ii) Got a job?
c) What was the total number of workers finally?