Question

You need to cut a 9 foot piece of plywood into 12 inch sections. Every cut also removes 1/8 inch. How much of the plywood will be left after cutting the 12 inch sections

Answer 1

Let's create an equation to define this scenario. s=sections cut and p=plywood remaining. 9 feet equals 108 inches. From this, we can get the following: p=108 - 12s - 1/8s. Using this equation, we can find that eight sections can be cut with eleven inches remaining. 11 inches of plywood will remain.

Answer 2

Answer:  The total quantity of plywood that will be left is 11 inches.

Step-by-step explanation:  Given that we need to cut a 9 foot piece of plywood into 12 inch sections and every cut also removes $\dfrac{1}{8}$ inch.

We are to find the quantity of plywood that will be left after cutting the 12 inch section.

We know

1 foot = 12 inches.

So, 9 foot = 12 × 9 = 108 inches.  

Since each cut removes $\dfrac{1}{8}$ inch at ever cut, so the number of 12 inch sections will be 8.

Therefore, the quantity of plywood that remained after cutting the 12 inch sections will be

$Q_p=108-12\times8-8\times\dfrac{1}{8}=108-96-1=11.$

Thus, 11 inches of the plywood will be left.