Problema Solution
A 35-inch board is to be cut into three pieces so that the second piece is twice as long as the first peice and the third piece is 4 times as long as the first piece. If x represents the lengh of the first piece, find the lenghts for all three piece
The first piece is _____ inches long
The secong piece is ____ inches long
THe third piece is _____ inches long
Answer provided by our tutors
the first piece: x in
the second piece is twice as long as the first piece: 2x
the third piece is 4 times as long as the first piece: 4x
A 35-inch board is to be cut into three pieces means the sum of the 3 pieces is 35:
x + 2x + 4x = 35
by solving we find:
x = 5 in
click here to see the step by step solution of the equation:
2x = 2*5 = 10
4x = 4*5 = 20
The first piece is 5 inches long.
The secong piece is 10 inches long.
THe third piece is 20 inches long.