# Math Help - Ratio question

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

2. 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?

3. 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!

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

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

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:

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

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

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