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 40% of the workers who do have a retirement plan are men. If 140 of the workers of that company are men, how many of the workers are women? Choose the correct choice from the following options:	A) 85	B) 95	C) 105	D) 120	E) 210
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 &gt; 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 + 40*2)/3 = 160/3% are men   Total = 120*300/160= 
<gadget id="calculator">120*300/160</gadget>
<output>225</output>
225   No. of women= 225 - 140= 
<gadget id="calculator">225 - 140</gadget>
<output>85</output>
85   85
<result>A</result>
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 40% of the workers who do have a retirement plan are men. If 140 of the workers of that company are men, how many of the workers are women?