A baby outfit uses 2/9 square yard of fabric for the hat and 5/9 square yards of fabric for the bib. A tailor has 5 4/9 square yards of fabric. How many baby outfits can she make?

Respuesta :

Answer:

She can make 7 baby outfits.

Step-by-step explanation:

Given:

A baby outfit uses 2/9 square yard of fabric for the hat and 5/9 square yards of fabric for the bib.

A tailor has 5 4/9 square yards of fabric.

Now, to find the outfits she can make.

So, we add to get the total fabric used for baby outfits hat and bib:

[tex]\frac{2}{9} +\frac{5}{9}\ square\ yards.[/tex]

[tex]=\frac{2+5}{9}\ square\ yards.[/tex]

[tex]=\frac{7}{9}\ square\ yards.[/tex]

Total fabric used for outfit = [tex]=\frac{7}{9}\ square\ yards.[/tex]

Total fabric tailor has = [tex]5\frac{4}{9} =\frac{49}{9}\ square\ yards[/tex]

Now, to get the number of outfits from the fabric tailor has we divide by total fabric used for outfit:

Number of outfits = Total fabric tailor has  ÷  Total fabric used for outfit.

[tex]Number\ of\ outfits = \frac{49}{9} \div\frac{7}{9}[/tex]

Thus, on dividing we get:

[tex]Number\ of\ outfits = 7\ outfits.[/tex]

Therefore, she can make 7 baby outfits.