# To make a dog bandana, you must have 12 inches of material. You are making several bandanas, so you buy 3 1/3 yards of material How many bandanas can you make?

Nov 15, 2016

$x = 10$ bandanas can be made

#### Explanation:

So we know that to make a dog bandana we must have 12 inches of material.

First of all we will convert yards into inches

$1 \text{ yard } = 36$ Inches so $3 \frac{1}{3} \text{ yards } = x$ Inches

Yard : inches
$\text{ } 1 : 36$
$\text{ } 3 \frac{1}{3} : x$
$\text{ } \frac{10}{3} : x$

$x = \frac{10}{3} \times 36$

$x = 120$ Inches

Note: $3 \frac{1}{3} \ne 3.33$
$3 \frac{1}{3}$ is exact while $3.33$ has been rounded off from the recurring decimal #3.33333333..

Now we will calculate how many bandanas $120$ Inches can make:

Bandana : amount
$\text{ } 1 : 12$
$\text{ } x : 120$

$\text{ } x = 10$