The lengths of the two pieces will be 16 inches and 80 inches.
The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
A 96 inches board is cut into two pieces.
One piece is five times the length of the other.
Let x be the length of the piece.
Then the other length of the piece will be 5x. Then the equation will be
x + 5x = 96
6x = 96
x = 16 inches
Then the length of the other will be
5x = 5 × 16 = 80 inches
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