Question

A home-decorating company is determining the amount of fabric required for a customer's window treatments. A single window requires 11 2/3 yards and a double window requires 15 5/6
yards of fabric. If there are two single windows and one double window, how much fabric is required?

Answer 1

Answer:

$2S + D = 34\frac{1}{6}\ yd$

Step-by-step explanation:

Represent single windows with S and double with D.

So, we have:

$S = 11\frac{2}{3}\ yd$

$D = 15\frac{5}{6}\ yd$

Required

Determine the amount of fabric for 2 singles and 1 double

The above statement implies:

$2S + D$

Substitute values for S and D

$2S + D = 2 * 11\frac{2}{3}\ yd + 15\frac{5}{6}\ yd$

Convert fractions

$2S + D = 2 * \frac{35}{3}\ yd + \frac{65}{6}\ yd$

$2S + D = \frac{70}{3}\ yd + \frac{65}{6}\ yd$

Tale LCM

$2S + D = \frac{140+65}{6}\ yd$

$2S + D = \frac{205}{6}\ yd$

$2S + D = 34\frac{1}{6}\ yd$

Hence, $34\frac{1}{6}\ yd$ is needed