SOLUTION: A 24inch board is to be cut three into three pieces so that the second piece is twice as long as the first and the third piece is 3 times as long as the first. If x represents the
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Question 1008960: A 24inch board is to be cut three into three pieces so that the second piece is twice as long as the first and the third piece is 3 times as long as the first. If x represents the length of the first piece, find the length of all three pieces.
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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.
.
S=2x=2(4in)=8in
ANSWER 2: The length of the second piece is 8 inches.
.
T=3x=3(4in)=12 inches.
ANSWER 3: The length of the third piece is 12 inches.
.
CHECK:
F+S+T=24in
4in+8in+12in=24in
24in=24in
