At a certain college, the ratio of men to women is 6 to 5. If there are 1,500 men, how many women are there?
If the ratio of men to women is 6 to 5, then the ratio can be written as 6x to 5x, where x is a common ratio.
Given that there are 1,500 men, we can set up the equation:
6x = 1500
Solving for x, we divide both sides by 6:
x = 1500/6 = 250
So, the common ratio is 250.
To find the number of women, we substitute the value of x into the ratio:
5x = 5 * 250 = 1250
Therefore, there are 1,250 women at the college.
To find the number of women at the college, we need to determine the ratio of men to women and use this ratio to find the number of women.
Given that the ratio of men to women is 6 to 5, we can express this as:
6 men : 5 women
We are also given that there are 1,500 men. We can set up a proportion to find the number of women.
Let's assign a variable, 'x', to represent the number of women.
Using the proportion:
6 men / 5 women = 1,500 men / x women
We can cross-multiply:
6 men * x women = 1,500 men * 5 women
6x = 7,500
To solve for 'x', divide both sides of the equation by 6:
x = 7,500 / 6
x ≈ 1,250
Therefore, there are approximately 1,250 women at the college.
To find the number of women at the college, we need to determine the number of men and women relative to the ratio provided.
Given that the ratio of men to women is 6 to 5, we can calculate the total number of people using the ratio:
6 + 5 = 11
Next, we can determine the value of each "unit" in the ratio by dividing the total number of people by 11:
1500 men / 6 = 250 units per man
Total units = 11
Now, we can find the number of women by multiplying the units per woman by the total units:
250 units per man * 5 units per woman = 1250 women
Therefore, there are 1250 women at the college.