Question

A 24 inch board is to be cut into three pieces so that the second piece is twice as long as the first piece and the third piece is 5 times as long as the first piece. If x represents the length of the first piece, find the length of all three pieces

Answer 1

F=length of first piece=x; S=length of second piece=2x

T=length of third piece=3x

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F+S+T=24 inches

x+2x+3x=24 inches

6x=24in

F=x=4in

ANSWER 1: The length of the first piece is 4 inches.

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S=2x=2(4in)=8in

ANSWER 2: The length of the second piece is 8 inches.

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T=3x=3(4in)=12 inches.

ANSWER 3: The length of the third piece is 12 inches.

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CHECK:

F+S+T=24in

4in+8in+12in=24in

24in=24in