a piece of wood that measures 175 in. long was cut into three pieces. the second piece of wood is 3 in. more than 3 times the length of the first piece of wood. The third piece of wood is 8 in. less than 4 times the length of the first piece of wood. What is the length of the longest piece of wood?

Question

Mathematics

Guillermo

26 February, 11:43

a piece of wood that measures 175 in. long was cut into three pieces. the second piece of wood is 3 in. more than 3 times the length of the first piece of wood. The third piece of wood is 8 in. less than 4 times the length of the first piece of wood. What is the length of the longest piece of wood?

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Answers (2)

Know the Answer?

Jaidyn Mayer · Answer 1

The correct answer is 82

Step-by-step explanation:

1st piece=x

2nd piece=3x+3

3rd piece=4x-8

Combine like terms:

x+3x+4x=8x

3-8 = - 5

8x-5=175

8x-5+5=175+5

8x=180

x=22.5

1st piece=22.5 in

2nd piece=70.5 in

3rd piece = 82

3rd piece is the biggest, so the correct answer is 82

Diya Ferrell · Answer 2

Diya Ferrell 26 February, 14:44

0

61inchs is the longest piece