A home-decorating company is determining the amount of fabric required for a customer's window treatments. A single window requires 12 2/3 yards and a double window requires 17 5/6 yards of fabric. If there are two single windows and one double window, how much fabric is required?

Respuesta :

Answer:

[tex]43\frac{1}{6} \:yards[/tex]

Step-by-step explanation:

GIVEN :-

Amount of fabric required for :-

  • a single window = [tex]12\frac{2}{3} = \frac{38}{3} \:yards[/tex]
  • a double window = [tex]17\frac{5}{6} = \frac{107}{6} \: yards[/tex]

TO FIND :-

Amount of fabric required for two single windows and one double windows.

SOLUTION :-

Amount of fabric required for two single windows = [tex]2(\frac{38}{3} ) = \frac{76}{3} \:yards[/tex]

Amount of fabric required for 2 single & 1 double window =  [tex]\frac{76}{3} + \frac{107}{6}[/tex]

                                                                                                =  [tex]\frac{152+107}{6}[/tex]

                                                                                                =   [tex]\frac{259}{6}[/tex]

                                                                                                =  [tex]43\frac{1}{6} \:yards[/tex]

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