The ratio of men to women in a certain factory is 3:4. There are 210 men. How many workers are there?
4 times 210 devided by 3
= 280
To find out the total number of workers, we can use the given information that the ratio of men to women in the factory is 3:4.
Let's first find the number of women in the factory.
Given that the ratio of men to women is 3:4, we can set up the following proportion:
3/4 = 210/n
To solve for n (the total number of workers), we can cross multiply:
3n = 4 * 210
Simplifying further:
3n = 840
Dividing both sides of the equation by 3:
n = 840 / 3
n = 280
Therefore, the total number of workers in the factory is 280.
To find the total number of workers in the factory, we need to determine the number of women.
The ratio of men to women is 3:4, which means for every 3 men, there are 4 women.
We are given that there are 210 men. Since the ratio of men to women is 3:4, we can use this information to find the number of women.
Since 3 is to 210 as 4 is to the number of women, we can set up a proportion:
3/210 = 4/x
Cross multiplying, we get:
3x = 4 * 210
Now we can calculate the value of x:
3x = 840
x = 840 / 3
x = 280
Therefore, there are 280 women in the factory.
To find the total number of workers, we add the number of men and women:
Total number of workers = 210 (men) + 280 (women) = 490
Therefore, there are 490 workers in the factory.
men/women = 3/4
210/women = 3 / 4
multiply both sides, all terms, by women * 4
210*4 (women/women) = 3 * women *4/4
840 = 3 * women
women = 840/3
women = 280