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

0.1 yards of fabric

Explanation:

Data provided in the question:

Number of outfits made for the doll = 14

Fabric used in each outfit =
`(3)/(5)` yards of fabric

Starting fabric available = 10 ×
`(3)/(4)` or
`(30)/(4)` yards

Now,

The total fabric used in making the outfits of 14 dolls

= 14 ×
`(3)/(5)` yards of fabric

=
`(42)/(5)` yards of fabric

Therefore,

The fabric left after making the outfits

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

=
`(30)/(4)` yards -
`(42)/(5)` yards

=
`(30*5-42*4)/(4*5)` yards

=
`(150-168)/(20)` yards

=
`(2)/(20)` yards

= 0.1 yards of fabric