Question

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?

Answer 1

The correct answer is 82

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

Answer 2

61inchs is the longest piece