## anonymous 5 years ago AnwarA can u help me?

1. anonymous

2. anonymous

The ratio of men to women at a certain company is 4 to7 . How many female employees does the company have if there are 132 employees?

3. anonymous

You can construct two equations in two variables. Let x be the number of female employees and y the number of male employees, then: ${y \over x}={4 \over 7} \rightarrow (1)$ $x+y=132$ You should now try to solve for x, which is the number of women employees.

4. anonymous

x=132-y

5. anonymous

y=4 right?

6. anonymous

so 132-4?

7. anonymous

Use the first equation and substitute y=(4/7)x in the second equation.

8. anonymous

i'm confused.

9. anonymous

From the first equation, multiply both sides by x, you get: $y={4 \over 7}x \rightarrow(*)$ Substitute this value for y in the second equation: $x+y=132 \implies x+{4 \over 7}x=132 \implies x(1+{4 \over 7})=132 \implies x({11 \over 7})=132$ $\implies x=132({7 \over 11})=84$ So, there are 84 female employee in the company.

10. anonymous

Try to read the steps carefully, and let me know if there is something you don't understand.

11. anonymous

thank u

12. anonymous

=)

13. anonymous

You're welcome. Thank YOU for calling me by name :)

14. anonymous

no problem! you're really good! :)

15. anonymous

:)