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
1 answer:
F=length of first piece=x; S=length of second piece=2x
T=length of third piece=3x
.
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
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