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Math Help - ratios?

  1. #1
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    ratios?

    the ratio of two numbers is 5/6. the second number is 16 less than twice the first number. find both numbers.

    how would that be written out?
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  2. #2
    Super Member malaygoel's Avatar
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    Quote Originally Posted by illeatyourxface View Post
    the ratio of two numbers is 5/6. the second number is 16 less than twice the first number. find both numbers.

    how would that be written out?
    Let the first number be x.

    Then the second number is x-16

    the ratio of these two is 5/6

    Spoiler:

    \frac{x-16}{x}=\frac{5}{6}

    6(x-16)=5x

    x=96

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  3. #3
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    so it would be x+x+16=5/6?
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  4. #4
    Super Member malaygoel's Avatar
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    Quote Originally Posted by illeatyourxface View Post
    so it would be x+x+16=5/6?
    no...sorry

    you have got two numbers x and x-16

    form their ratio i.e. divide one number by another....and then equal it to 5/6
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  5. #5
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    so does it matter what order? would it be x/ x-16 = 5/6?
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  6. #6
    Super Member malaygoel's Avatar
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    Quote Originally Posted by illeatyourxface View Post
    so does it matter what order? would it be x/ x-16 = 5/6?
    since you are dealing only with natural numbers, x-16 will be less than x

    hence, (x-16)/x=5/6

    however solve both ways and see what you get
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  7. #7
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    Im sorry, taking this online class and for college and you are supposed to just do the problems in this workbook but im having problems and there are no directions or anything.... kind fustrating... :[

    and continuing with the problem would you then cross multiply?
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  8. #8
    No one in Particular VonNemo19's Avatar
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    Quote Originally Posted by illeatyourxface View Post
    Im sorry, taking this online class and for college and you are supposed to just do the problems in this workbook but im having problems and there are no directions or anything.... kind fustrating... :[

    and continuing with the problem would you then cross multiply?
    malaygoel, i'll speak for you, Yes he would.
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  9. #9
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    haha thanks, and then the answer is 96 and and how would you find the other answer add or subtract 16?
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  10. #10
    Super Member malaygoel's Avatar
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    Quote Originally Posted by illeatyourxface View Post
    haha thanks, and then the answer is 96 and and how would you find the other answer add or subtract 16?
    you got x as 96

    the other one is x-16...so you had to add or subtract???

    Spoiler:

    x-16=96-16...80
    Last edited by malaygoel; July 2nd 2009 at 08:12 PM.
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  11. #11
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    ohhh haha okay, thanks so much, very helpful
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  12. #12
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    Quote Originally Posted by illeatyourxface View Post
    the ratio of two numbers is 5/6. the second number is 16 less than twice the first number. find both numbers.

    how would that be written out?
    Read the question properly people...

    The ratio of two numbers is \frac{5}{6}. The second number is 16 less than twice the first number.

    If we call the first number x, then twice the first number is 2x, and 16 less than twice the first number is 2x - 16.


    So \frac{x}{2x - 16} = \frac{5}{6}

    6x = 5(2x - 16)

    6x = 10x - 80

    80 = 4x

    x = 20.


    Therefore 2x - 16 = 2(20) - 16

    = 40 - 16

     = 24.



    So the two numbers are 20 and 24.
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  13. #13
    Super Member malaygoel's Avatar
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    For illeatyourxface,
    steps are essentialy the same

    For me,
    I will read questions more carefully
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  14. #14
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    ohhh nowww i see, thanks again, veryyy very helpful
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