Results 1 to 3 of 3

Math Help - Ratio question

  1. #1
    Newbie
    Joined
    Aug 2010
    Posts
    1

    Ratio question

    Im in need of solving this Business math ratio question!
    I'd be Sooo grateful if i can get some help!
    Many thanks guys!


    A Duvet set has been bought in colour ratio of 5:7:1:2 over colours blue, red, green, and yellow there is a total of 930 Duvets sets on order.

    a) how many duvet sets are blue? 310.
    b ) what is the total number of green and yellow combined ? 186.

    **C) If a pair of curtains has been bought in the same ratio, how many red pairs of curtains would there be if there had been 64 pairs of yellow curtains?

    I need help with C! I keep getting 60? Why!?

    And its wrong!!

    x
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Member
    Joined
    Feb 2010
    From
    United States
    Posts
    155
    Thanks
    1
    No worries, we got this.

    Alright, so let's take a look at C: "If a pair of curtains has been bought in the same ratio, how many red pairs of curtains would there be if there had been 64 pairs of yellow curtains?"

    So we know that the ratios are 5:7:1:2. If there are 64 pairs of yellow curtains, how many times more 2 is that? 32. So if we are to apply that to our ratio, we get:

    160:224:32:64

    So how many pairs of red curtains are we looking at?
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Super Member

    Joined
    May 2006
    From
    Lexington, MA (USA)
    Posts
    11,735
    Thanks
    642
    Hello, Angelina!

    A little Common Sense will make it clear . . .


    A Duvet set has been bought in colour ratio of 5:7:1:2
    over colours blue, red, green, and yellow.

    There is a total of 930 Duvets sets on order.

    a) How many duvet sets are blue? 310
    b) what is the total number of green and yellow combined ? 186
    These are correct!

    \text{We have: }\;\;\begin{array}{c|c|c}<br />
\text{Color} & \text{Ratio} & \text{Fraction} \\ \hline \\[-4mm]<br />
\text{Blue} & 5 & \frac{5}{15} \\ \\[-4mm]<br />
\text{Red} & 7 & \frac{7}{15} \\ \\[-4mm]<br />
\text{Green} & 1 & \frac{1}{15} \\ \\[-4mm]<br />
\text{Yellow} & 2 & \frac{2}{15} \\ \hline \\[-4mm]<br />
\text{Total:} & 15 & 1 \end{array}


    \text{With 930 sets: }\;\;\begin{array}{c|c}<br />
\text{Color} & \text{Amount} \\ \hline \\[-4mm]<br />
\text{Blue} & \frac{5}{15} \times 930 \;=\;310 \\ \\[-4mm]<br />
\text{Red} & \frac{7}{15} \times 930 \;=\;434 \\ \\[-4mm]<br />
\text{Green} & \frac{1}{15} \times 930 \;=\;\;\;62 \\ \\[-4mm]<br />
\text{Yellow} & \frac{2}{15}\times930 \;=\;124 \end{array}




    If pairs of curtains has been bought in the same ratio,
    how many red pairs of curtains would there be
    if there had been 64 pairs of yellow curtains?

    For N pairs, we have:

    . . \begin{array}{cccccc}<br />
\text{Color} & \text{Fraction} \\ \cline{1-2} \\[-4mm]<br />
\text{Blue} & \frac{5}{15}N \\ \\[-4mm]<br />
\text{Red} & \frac{7}{15}N \\ \\[-4mm]<br />
\text{Green} & \frac{1}{15}N \\ \\[-4mm]<br />
\text{Yellow} & \frac{2}{15}N & \!\!\!\!\!\!\!= & 64 \end{array}


    \text{We have: }\;\frac{2}{15}N \:=\:64 \quad\Rightarrow\quad N \:=\:480

    \text{The number of pairs of red curtains is: }\:\frac{7}{15} \times 480 \:=\:224

    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Ratio Question
    Posted in the Algebra Forum
    Replies: 3
    Last Post: December 12th 2011, 04:39 PM
  2. Ratio Question
    Posted in the Algebra Forum
    Replies: 6
    Last Post: November 10th 2010, 10:28 AM
  3. ratio question hw
    Posted in the Trigonometry Forum
    Replies: 2
    Last Post: April 19th 2010, 09:25 AM
  4. Ratio question, please help
    Posted in the Algebra Forum
    Replies: 5
    Last Post: August 15th 2009, 05:07 AM
  5. ratio question
    Posted in the Algebra Forum
    Replies: 2
    Last Post: May 5th 2009, 02:51 PM

Search Tags


/mathhelpforum @mathhelpforum