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anonymous

  • 5 years ago

AnwarA can u help me?

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  1. anonymous
    • 5 years ago
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    How can I help you?

  2. anonymous
    • 5 years ago
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    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
    • 5 years ago
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    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
    • 5 years ago
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    x=132-y

  5. anonymous
    • 5 years ago
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    y=4 right?

  6. anonymous
    • 5 years ago
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    so 132-4?

  7. anonymous
    • 5 years ago
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    Use the first equation and substitute y=(4/7)x in the second equation.

  8. anonymous
    • 5 years ago
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    i'm confused.

  9. anonymous
    • 5 years ago
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    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
    • 5 years ago
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    Try to read the steps carefully, and let me know if there is something you don't understand.

  11. anonymous
    • 5 years ago
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    thank u

  12. anonymous
    • 5 years ago
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    =)

  13. anonymous
    • 5 years ago
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    You're welcome. Thank YOU for calling me by name :)

  14. anonymous
    • 5 years ago
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    no problem! you're really good! :)

  15. anonymous
    • 5 years ago
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    :)

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