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A plumber cut a pipe 32 inches long into two parts so that the larger parts is 4 less than 3thimes the size than the smaller ones

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Answer:

The smaller piece's length is 9 inches, the larger piece is 23 inches.

Step-by-step explanation:

Solving the Problem

Understanding the Word Problem

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.

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Solving for the Pieces' Lengths

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

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