Answer:
The smaller piece's length is 9 inches, the larger piece is 23 inches.
Step-by-step explanation:
We're told a 32-inch pipe is cut into two, where one is bigger than the other by 4 less than 3 times.
If the smaller piece is x long, the larger one is (3x - 4) long.
We can set up an equation that can find the pieces' values.
[tex]\dotfill[/tex]
Since they must equal the length of the piper, we add the parts' length and equate to 32.
After finding the value of the small piece we can plug its value into the large piece's expression to find its value.
small piece + large piece = pipe
x + (3x - 4) = 32
4x - 4 = 32
4x = 36
small: x = 9 -> large: 3(9) - 4 = 23