Q47. - Algebra 1

Question

Find the number of 9-inch ribbons which can be cut from $\mathbf{1}\frac{\mathbf{1}}{\mathbf{2}}$ yards of ribbon.

Step-by-Step Solution

Answer

The number of 9-inch ribbons that can be cut from $1\frac{1}{2}$ yards of ribbon is 6.

Step 1. By conversion formula convert yards into inches.

By conversion formula,

$\begin{array}{cc}1\frac{1}{2}\mathrm{yards}=\frac{3}{2}\mathrm{yards}& \\ =\frac{3}{2}\left(36\right)& ....\left(1\mathrm{yard}=36\mathrm{inch}\right)\\ =54\mathrm{inch}& \end{array}$

Step 2. Divide 54 by 9 to obtain 9-inch piece of ribbon

The number of 9-inch ribbons that can be cut from 54 inches of ribbon, will be evaluated when is divided by 9.

 

 

So, the number of 9-inch ribbons that can be cut from $1\frac{1}{2}$ yards (54 inches) of ribbon, is calculated as,

$\begin{array}{c}54÷9=54·\frac{1}{9}\\ =\frac{9·6}{9}\\ =6\end{array}$

Step 3. DESCRIPTION OF STEPS.

The number of 9-inch ribbons that can be cut from $1\frac{1}{2}$ yards of ribbon is 6.