In a certain company, a third of the workers do not have a retirement plan. 20% of the workers who ...

In a certain company, a third of the workers do not have a retirement plan. 20% of the workers who do not have a retirement plan are women, and 50% of the workers who do have a retirement plan are men. If 120 of the workers of that company are men, how many of the workers are women?

Quiz

Answer/Solution

80

Steps/Work

20% of the workerswithoutretirement plan are women, this means 80% of the workerswithoutretirement plan are men right? Makes 100% = no retirement plan.
Then 40% of those wo have a retirement plan are men, which means 60% of those who have a retirement plan are women. These percentages are always refering to the subgroupsRetirement plan = YesandNo Retirement Plan.
Make the total workers equal x and work from there and it should be fine > x/3 have no retirement plan at all. I struggled with the question a lot, it was hard for me although usually I have no problems with sets questions like this. I believe it must be a 700+ question.
Yes, you are right. I read the question incorrectly! I glazed overnotfor some reason.
If20% of the workers who do not have a retirement plan are women,80% who do not have retirement plan are men. Also 40% who do have retirement plan are men. Since 1/3 do not have retirement plan and 2/3 do have, it becomes a simple weighted average question.
Cavg = (80*1 + 50*2)/3 = 60% are men
Total = 120*100/60 = 200
No. of women = 200 - 120 = 80
A

Gain Calculator / Auto Solver

In a certain company, a third of the workers do not have a retirement plan. % of the workers who do not have a retirement plan are women, and % of the workers who do have a retirement plan are men. If of the workers of that company are men, how many of the workers are women?

Calculated Answer

80

Step by Step Solution

In order to solve problem, you must evaluate (1 / 3 * n0 / 100 + 1 - 1 / 3 - n1 / 100 * (1 - 1 / 3)) * n2 / (n1 / 100 * (1 - 1 / 3) + 1 / 3 - 1 / 3 * n0 / 100).

n0 =20
n1 =50
n2 =120