Question

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

Answer 1

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 = $\frac{3}{5}$ yards of fabric

Starting fabric available = 10 × $\frac{3}{4}$ or $\frac{30}{4}$ yards

Now,

The total fabric used in making the outfits of 14 dolls

= 14 × $\frac{3}{5}$ yards of fabric

= $\frac{42}{5}$ yards of fabric

Therefore,

The fabric left after making the outfits

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

= $\frac{30}{4}$ yards - $\frac{42}{5}$ yards

= $\frac{30\times5-42\times4}{4\times5}$ yards

=  $\frac{150-168}{20}$ yards

= $\frac{2}{20}$ yards

= 0.1 yards of fabric