Anthony bought an 8 foot board. he cut off 3/4 of the board to build a shelf and gave 1/3 of the rest to his brother for an art project .how many inches long was the piece anthony gave to his brother?

The size of the board is 8 foot. From this board , 3/4 was cut to build a shelf. 1/3 from the rest was given to the brother.
original board - 8 foot
the amount cut to build a shelf - 3/4 of 8 = 3/4 x 8 = 6
The remaining part of the board - 8-6 = 2 foot
1/3 rd of the remaining part was given
therefore 1/3 of 2 = 0.67 foot
0.67 foot long board was given to the brother

Answer Link

Evadin2019 Evadin2019 · Answer 2 · 2019-10-08T01:01:10+02:00

Anthony gave 8 inches long of the board to his brother.

Further Explanation

Let's convert the feet unit into inches

[tex]\boxed {1 foot = 12 inches }\\[/tex]

8 feet = 8 x 12 inches = 96 inches

Anthony cuts [tex]\frac{3}{4}[/tex] to build a shelf:

[tex]\boxed {=\frac{3}{4} \times96 = 72 inches }[/tex]

Leftover board after cutting= 96-72 =24 inches

Anthony gave ¹/₃ of the leftover to his brother which is:

[tex]\boxed {=\frac{1}{3} \times24 } \\\boxed {= 8 }[/tex]

So Anthony gave his brother 8 inches board.

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Keywords: conversion, convert foot to inch, fraction, part to whole relationship