A 150 yard pipe is cut to provide drainage for two fiekds. If the length of one piece us 3 yards less than twice the length of the second piece, what are the lengths of the two pieces?
x+(2x-3)=150
=> x = 51
=> y = 99
Let's assume the length of the second piece of pipe is x yards.
According to the problem statement, the length of one piece is 3 yards less than twice the length of the second piece. So, the length of the other piece can be expressed as 2x - 3.
We know that the sum of the lengths of the two pieces is 150 yards. Therefore, we can write the equation:
x + (2x - 3) = 150
Simplifying the equation, we get:
3x - 3 = 150
Adding 3 to both sides of the equation, we have:
3x = 153
Dividing both sides of the equation by 3, we get:
x = 51
So, the length of the second piece of pipe is 51 yards.
To find the length of the other piece, we substitute the value of x into the expression we derived earlier:
2x - 3 = 2(51) - 3 = 102 - 3 = 99
Therefore, the lengths of the two pieces are 51 yards and 99 yards.
To solve this problem, let's assign variables to represent the lengths of the two pieces of the pipe. Let's call the length of the second piece "x" yards.
According to the problem, the length of the first piece is 3 yards less than twice the length of the second piece, which can be represented as:
Length of first piece = 2x - 3
Now, we know that the total length of the pipe is 150 yards. Therefore, the sum of the lengths of the two pieces should equal 150. We can write this as an equation:
Length of first piece + Length of second piece = 150
(2x - 3) + x = 150
Simplifying the equation, combine like terms:
3x - 3 = 150
Next, add 3 to both sides of the equation to isolate the variable:
3x - 3 + 3 = 150 + 3
3x = 153
Divide both sides of the equation by 3 to solve for x:
3x/3 = 153/3
x = 51
So, the length of the second piece is 51 yards.
To find the length of the first piece, substitute the value of x back into the equation:
Length of first piece = 2x - 3 = 2(51) - 3 = 102 - 3 = 99
Therefore, the lengths of the two pieces of the pipe are 99 yards and 51 yards, respectively.