SOLUTION: four-sevenths of a school's faculty are women. four-fifths of the male faculty members are married, and nine of the male faculty are unmarried. how many faculty members are there?

Question 569360: four-sevenths of a school's faculty are women. four-fifths of the male faculty members are married, and nine of the male faculty are unmarried. how many faculty members are there?
Answer by IWork4Dessert(60) (Show Source): You can put this solution on YOUR website!
Let's work this from the end to the start. You know two things about the male faculty members, so begin with those. 4/5 of the men are married, and 9 of them are not. This means that 1/5 of the men are unmarried, so 9 is 1/5 of the total amount of men. Now you can set up a proportion:
1/5=9/x
Solve the proportion by cross-multiplying.
x=45
There are 45 men total. You know now that since 4/7 of the faculty are women, then 3/7 of them are men. So you have another proportion:
3/7=45/x
Cross-multiply again.
3x=315
Divide both sides by 3 to get the variable(letter) alone.
x=105
105 people are in the faculty total.
RELATED QUESTIONS
Four-seventh of a school's faculty are women. Four-fifths of the male faculty members are (answered by richwmiller)

4/7 of the school's faculty are women; 4/5 of the male faculty are married; and 9 of the... (answered by ptaylor,ankor@dixie-net.com)

Seven women and nine men are on the faculty in the Math department of a school. A... (answered by Boreal)

Suppose a study of the faculty at U.S. medical schools revealed that 33% of the faculty... (answered by ikleyn,Edwin McCravy)

If 64 people earned over $100000 last year and this was 20% of the faculty at a college,... (answered by stanbon,edjones)

Suppose a study of the faculty at U.S. medical schools revealed that 38% of the faculty... (answered by Boreal)

A faculty council contains nine members, three men and six women. If two members are... (answered by stanbon)

The classification of faculty at a college is indicated in the following table: Male... (answered by stanbon)

Q-3: [5+5+5+5 Marks] The classification of faculty at a college is indicated in the... (answered by CPhill)