To make a skirt out of fabric, Connie needs 1 3/4 yards of fabric. If Connie bought 10 1/2 yards of fabric at a sale, how many skirts could she make? Show your work. To make a skirt out of fabric, Connie needs 1 3/4 yards of fabric. If Connie bought 10 1/2 yards of fabric at a sale, how many skirts could she make? Show your work.

Respuesta :

Answer:

6 skirts

Explanation:

Given

[tex]1\ Skirt = 1\frac{3}{4}\ fabric[/tex]

Required

Number of skirts for [tex]10\frac{1}{2}\ fabric[/tex]

Represent the required number of skirts by x

To solve for this, we simply divide [tex]10\frac{1}{2}[/tex] by [tex]1\frac{3}{4}[/tex]

[tex]x = 10\frac{1}{2} / 1\frac{3}{4}[/tex]

Convert to mixed numbers

[tex]x = \frac{21}{2} / \frac{7}{4}[/tex]

Rewrite as multiplication

[tex]x = \frac{21}{2} * \frac{4}{7}[/tex]

[tex]x = \frac{21 * 4}{2 * 7}[/tex]

[tex]x = \frac{84}{14}[/tex]

[tex]x = 6[/tex]

Hence, she could make 6 skirts