Using​ 45-in. fabric, Regan needs 2 and one fourth yd for a​ dress, one fourth yd of contrasting fabric for the band at the​ bottom, and 4 and three fourths yd for a coordinating jacket. How many yards of​ 45-in. fabric are needed in​ all?

Respuesta :

Answer:

[tex]7\dfrac14$ yards[/tex]

Step-by-step explanation:

Regan needs the following:

[tex]2\dfrac{1}{4}[/tex] yards for a​ dress

[tex]\dfrac{1}{4}$ yards of contrasting fabric for the band at the bottom$\\4\dfrac{3}{4}$ yards for a coordinating jacket.[/tex]

Total Length of fabric needed

[tex]= 2\dfrac{1}{4}+\dfrac{1}{4}+4\dfrac{3}{4}\\=2+4+\dfrac{1}{4}+\dfrac{3}{4}+\dfrac{1}{4}\\=6+1+\dfrac{1}{4}\\=7\dfrac{1}{4}$ yards[/tex]

The number of yards of 45-in. fabric needed is [tex]7\dfrac14$ yards.[/tex]

Answer:

In all, the length of fabric that Regan needs is [tex]7\tfrac{1}{4}[/tex] yards

Step-by-step explanation:

The question relates to a word problem involving the sum of fractional dimensions

The parameters given are

Dress = 2¹/₄ yd of the 45-in. fabric

Band at the bottom = 1/4 yd of the 45-in. fabric

Jacket = 4³/₄ yd of the 45-in. fabric

Hence the total length, L, of the 45-in. fabric Regan needs is found as follows;

L = 2¹/₄ + 1/4 + 4³/₄ = ²⁹/₄ = 7¹/₄ yd.

In all, the length of fabric that Regan needs = [tex]7\tfrac{1}{4}[/tex] yards.