FRAMES

Joe is making picture frames out of wood. The length of each frame is 10 inches, and the width is 8 inches. Each piece of wood used to make the frames is 8 feet long. How many pieces of wood will he need to make 10 picture frames?

Clue: find the perimeter of each frame first. Divide that answer Into the number of inches for each piece of wood, then calculate how many frames he can make out of each piece of wood.

Correct answer:

n =  4

Step-by-step explanation:

$$\begin{gathered} a=10\text{in} \\ b=8\text{in} \\ f=8\text{ft}\to \text{in}=8\cdot 12\text{in}=96\text{in} \\ o=2\cdot a+2\cdot b=2\cdot 10+2\cdot 8=36\text{in} \\ O=10\cdot o=10\cdot 36=360\text{in} \\ {n}_1=O/f=360/96=\frac{15}{4}=3\frac{3}{4}=3.75 \\ n=\lceil n_1\rceil =\lceil 3.75\rceil =4 \end{gathered}$$

Try another example