Question

A piece of lumber is 17 feet long, You cut the lumber into logs that are 18 inches long, how many 18 inch logs do you cut from the lumber?, how many inches of the lumber are remaining?

Answer 1

Before doing anything, we must convert the unit of feet into the unit of inches so that all the units match. You cannot multiply apples by oranges!

Since 1 ft = 12 inches, then a 17 foot piece of lumber is 204 inches long.

12(17) = 204

Now, we can write an equation.

Let x = the amount of logs that can be cut from the lumber

204 = x(18)

204/18 = x(18)/18

x = 11.333333.....

You do not want .333333.... of a log, so you can cut 11 logs max.

You will then have that .333333333.... inches of lumber left.

Answer 2

The remaining logs of wood that is obtainable from the piece of lumber is a function of division.

There are 6 inches of lumber remaining after the lumber are cut into 18 inch logs

Given

$Lumber = 17ft$

$Log = 18in$

The number of logs (n) that can be gotten from the lumber is:

$n = \frac{Lumber}{Log}$

So, we have:

$n = \frac{17ft}{18in}$

Convert feet to inches

$n = \frac{17 \times 12in}{18in}$

$n = \frac{204in}{18in}$

$n = 11\frac{1}3$

$11\frac 13$ means that 11 whole logs can be gotten from the lumber, while the remaining is $\frac 13$ of the wood.

The remaining lumber (r) is then calculated as follows:

$r = \frac 13 \times 18in$

$r = 6in$

Hence, 6 inches of lumber are remaining.

Read more about remainder division at:

https://brainly.com/question/22408054