SOLUTION: a 49inch board is to be cut into three pieces so that the second piece is twicw as long as the first piece and the third piece is four times as long as the first piece if x represe

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Question 987674: a 49inch board is to be cut into three pieces so that the second piece is twicw as long as the first piece and the third piece is four times as long as the first piece if x represents the length of the first piece find the lengths of all three pieces.
piece 1
piece 2
piece 3
Found 2 solutions by solver91311, macston:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!








Solve the 3X3 system for , , and

John

My calculator said it, I believe it, that settles it

Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
First piece=x; second piece=2x; third piece=4x
.
x+2x+4x=49in
7x=49in
x=7in
ANSWER 1: The first piece is 7 inches.
Second piece=2x=2(7in)=14in
ANSWER 2: The second piece is 14 inches.
Third piece=4x=4(7in)=28in
ANSWER 3: The third piece is 28 inches.
.
CHECK:
Piece 1 + Piece 2 + Piece 3 = 49 inches
7 inches + 14 inches + 28 inches=49 inches
49 inches=49 inches