Question

AnwarA can u help me?

Answer 1

How can I help you?

Answer 2

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?

Answer 3

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.

Answer 4

x=132-y

Answer 5

y=4 right?

Answer 6

so 132-4?

Answer 7

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

Answer 8

i'm confused.

Answer 9

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.

Answer 10

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

Answer 11

thank u

Answer 12

=)

Answer 13

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

Answer 14

no problem! you're really good! :)

Answer 15

:)