Olivia made 14 outfits for her dolls. Each outfit used 3/5 of fabric. If she started with 10 3/4 yards of fabric, how much did she have left after making all the outfits

Respuesta :

Answer:

0.1 yards of fabric

Step-by-step explanation:

Data provided in the question:

Number of outfits made for the doll = 14

Fabric used in each outfit = [tex]\frac{3}{5}[/tex] yards of fabric

Starting fabric available = 10 × [tex]\frac{3}{4}[/tex] or [tex]\frac{30}{4}[/tex] yards

Now,

The total fabric used in making the outfits of 14 dolls

= 14 × [tex]\frac{3}{5}[/tex] yards of fabric

= [tex]\frac{42}{5}[/tex] yards of fabric

Therefore,

The fabric left after making the outfits

= Fabric available in the start - Fabric used  in making the outfits

= [tex]\frac{30}{4}[/tex] yards - [tex]\frac{42}{5}[/tex] yards

= [tex]\frac{30\times5-42\times4}{4\times5}[/tex] yards

=  [tex]\frac{150-168}{20}[/tex] yards

= [tex]\frac{2}{20}[/tex] yards

= 0.1 yards of fabric

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