the ratio of men and women in a certain factory is 3 to 4. there are 198 men. How many workers are there?

Mathematics

1 answer:

LUCKY_DIMON [66]3 years ago

5 0

3 men

4 women

7 total

3 men/ 7 total = 198 men/ x total

using cross products

3*x = 7 * 198

divide each side by 3

x = 7*198/3

x = 462

There are 462 workers

If you mean 3 men and 1 women for a total of 4 workers when you state a ratio of men and women in a certain factory is 3 to 4.

3/4 =198/x

Using cross products

3x = 4* 198

Divide each side by 3

3x/3 = 4*198/3

x =264

264 workers

It all depends on how you define ratio of men and women in a certain factory is 3 to 4. This is incorrect phrasing and I took it to be men to women. You cannot have a ratio of men and women.

You might be interested in

What is the equation of the line that passes through the points (-1, 1.5) and (0.5, 0.5)

Step2247 [10]

The slope-point formula:

$y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}$

We have:

$(-1,\ 1.5)\to x_1=-1,\ y_1=1.5\\(0.5,\ 0.5)\to x_2=0.5,\ y_2=0.5$

Substitute:

$m=\dfrac{0.5-1.5}{0.5-(-1)}=\dfrac{-1}{1.5}=-\dfrac{1}{\frac{3}{2}}=-\dfrac{2}{3}\\\\y-1.5=-\dfrac{2}{3}(x-(-1))\\\\y-1.5=-\dfrac{2}{3}x-\dfrac{2}{3}\\\\y-\dfrac{3}{2}=-\dfrac{2}{3}x-\dfrac{2}{3}\ \ \ |+\dfrac{3}{2}\\\\y=-\dfrac{2}{3}x-\dfrac{2}{3}+\dfrac{3}{2}\\\\y=-\dfrac{2}{3}x-\dfrac{2\cdot2}{3\cdot2}+\dfrac{3\cdot3}{2\cdot3}\\\\y=-\dfrac{2}{3}x-\dfrac{4}{6}+\dfrac{9}{6}\\\\y=-\dfrac{2}{3}x+\dfrac{5}{6}$