I believe the right answer should be 4/7 and not 5/7. Am I right or not? thank you
Plug in each answer to check if it is correct.4/7 of women are married
Let's pick the number of married women as 40. Then there are 70 women overall.
Women make 70% of the employees, so there are 100 employees overall.
Men make 30% of the employees, so there are 30 men overall. 2/3 of the men are single, so there are 20 single men and 10 married men.
It looks like everything is fine, but let's check the percentage of employees that are married. There are 40 women and 10 men married, which results in 50. 50 makes 50% of the employees (100). This contradicts the original question statement ("… and 60 percent of the employees are married. …"), so 4/7 does NOT fit and therefore it is NOT a solution.5/7 of women are married
Take a look at the table, where the numbers perfectly comply with the question statement. Think of the numbers as percentages to see that this works fine for any number of employees (which do not yield fractional numbers of pers.).
Numbers given or implied by the question statement are written in black.To practice
Make such table on your own and fill in the empty cells starting with the information in the question statement.