SOLUTION: There are 9 men for every 10 women at the university. The total students are 26,239 how many are women?

Question 358430: There are 9 men for every 10 women at the university. The total students are 26,239 how many are women?
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!
When you have a ratio and a total count like in this problem the following will help you get a solution. Take the two numbers from the ratio and make them coefficients of a variable. The sum of these two terms will equal the total.

Since your ratio is 9 to 10 and your total is 26239 the equation looks like:
9x + 10x = 26239
Now we solve for x:
19x = 26239
x = 26239/19
x = 1381

The tricky part is to remember that "x" doesn't represent the number of men or the number of women! 9x is the number of men and 10x is the number of women. So to answer the question "How many are women?" we need to find 10x:
10x = 10(1381) = 13810
There are 13810 women.
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