Question

Tom is working on a woodworking project at home. He is building a table and needs five even pieces 3/5 of a foot long and you cut a 2 1/4 feet long piece from a 4 foot piece already does tom have enough wood to finish his project

Answer 1

Tom does not have enough wood to finish his project as he needs 3 feet in total for the five pieces but only has 1.75 feet of wood remaining after making his initial cut.

Step-by-step explanation:

Tom is working on a woodworking project where he needs to create five even pieces that are each 3/5 of a foot long. He has already cut a piece that is 2 1/4 feet long from a 4-foot piece of wood. To determine if Tom has enough wood left to finish his project, we must calculate the total length of wood needed for the five pieces and then subtract the piece he has already cut.

First, we calculate the total length required for the five pieces:

5 pieces × 3/5 foot per piece = 3 feet

Now we convert 2 1/4 feet to a decimal for easier subtraction from the 4 feet of wood Tom started with:

2 1/4 feet = 2.25 feet

Subtracting the length of wood already cut from the total original length we get:

4 feet - 2.25 feet = 1.75 feet remaining

Comparing the remaining wood to the total length needed:

1.75 feet < 3 feet

Unfortunately, Tom does not have enough wood to complete the five pieces as he is short by 1.25 feet.

Answer 2

Lets convert our quantities to decimal form first:
3/5 of a foot is 0.6 foot. Since he need five equal pieces of that length, he needs
`0.6*5=3` feet to build his project.
2 1/4 feet is 2.25 feet. So, he now has two pieces one of 2.25 feet long and another one of
`4-2.25=1.75` feet long.

Next, lets find if he has enough wood for his project:
From the 2.25 feet piece he can cut
`(2.25)/(0.6) =3.75`; since he needs even pieces, we can discard the decimal part of the result; therefore, he can cut 3 pieces.
From the 1.75 piece he can cut
`(1.75)/(0.6) =2.91`; similarly, since he needs even pieces, we can discard the decimal part of the result; therefore, he can cut 2 pieces.
From both pieces, he can cut 2+3=5 pieces.

We can conclude that he has enough wood left to finish his project.