SOLUTION: A board, 44 cm long is cut into three pieces such that the second piece is twice as long as the first and the third is 4 cm longer than the second.
Find the length of the shorte
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Question 930507: A board, 44 cm long is cut into three pieces such that the second piece is twice as long as the first and the third is 4 cm longer than the second.
Find the length of the shorter piece.
Answer by algebrahouse.com(1659) (Show Source): You can put this solution on YOUR website!
x = length of first piece
2x = length of second piece {second piece is twice as long as the first}
2x + 4 = length of third piece {third piece is 4 cm longer than the second}
x + 2x + 2x + 4 = 44 {total length of all pieces is 44}
5x + 4 = 44 {combined like terms}
5x = 40 {subtracted 4 from each side}
x = 8 {divided each side by 5}
shorter piece is 8 cm
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