A192- inch board is cut into two pieces .one pieces is five time length of the other find the lengths of the two pieces The short piece is inches long

Question

A192- inch board is cut into two pieces .one pieces is five time length of the other find the lengths of the two pieces The short piece is inches long

Answer 1

Let x = the length of the shorter piece. Then, the length of the longer piece is 5x since it must be 5 times the length of the shorter piece. Since the total length of the board is 192 inches, we have

x + 5x = 192. Combining like terms on the left side, 

6x = 192. Dividing both sides of the equation by 6,
x = 32, so the length of the short piece is 32 inches.

 

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