Mrs. Purple bought 3.5 yards of yellow fabric. She used ⅔ of the fabric to make a chicken costume. Then she used the remaining fabric to make plush banana toys for her seven dogs. How much fabric was used to make each banana?

Respuesta :

Answer:

[tex]0.17\ \text{yards}[/tex]

Step-by-step explanation:

Total length of yellow fabric = 3.5 yards

[tex]\dfrac{2}{3}[/tex] of the yellow fabric was made to make a chicken costume.

So, the fraction of the yellow fabric used to make toys for her 7 dogs is

[tex]1-\dfrac{2}{3}=\dfrac{1}{3}[/tex]

The amount of fabric to make the 7 toys is

[tex]\dfrac{1}{3}\times 3.5=1.17\ \text{yards}[/tex]

Assuming that equal amount of fabric was used for 1 toy for 7 of her dogs each.

The amount of fabric used for 1 dog's toy is

[tex]\dfrac{1}{7}\times 1.17=0.17\ \text{yards}[/tex]

The amount of fabric used to make each banana is [tex]0.17\ \text{yards}[/tex].