MATH SOLVE

4 months ago

Q:
# A 36 inch board is cut into three pieces so that the second piece is 3 times 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 lengths of all three pieces

Accepted Solution

A:

Answer: First piece = 4 inch, second piece = 12 inch , third piece = 20 inchStep-by-step explanation:Length of the board = 36 inchLet, the length of the first piece = XSo, according to the questionSecond piece = 3 times X = 3xThird piece = 5 times X = 5XNow, first piece + second piece + third piece = total length of the board⇒ X + 3X+ 5X = 36 inchor, 9X = 36 inchor, X = 36/9 = 4 inchSo, length of the : First piece = 4 inchSecond Piece = 3X = 3 x 4 = 12 inchThird piece = 5X = 5 x 4 = 20 inch