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

Respuesta :

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 [tex]0.6*5=3[/tex] 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 [tex]4-2.25=1.75[/tex] feet long.

Next, lets find if he has enough wood for his project:
From the 2.25 feet piece he can cut [tex] \frac{2.25}{0.6} =3.75[/tex]; 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 [tex] \frac{1.75}{0.6} =2.91[/tex]; 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.
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