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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

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

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Michael T. | Knowledgeable and Experienced Math/Science TeacherKnowledgeable and Experienced Math/Scien...
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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.
 
Hope this helps!