Question

9. Jack cut a piece of wood that was 8 feet long into two pieces. One piece is three times as long as the other. How long is the shorter piece of wood?

A. 4 feet long
B. 3 feet long
C. 1 foot long
D. 2 feet long

Answer 1

Answer: 2 feet long

Explanation:

To solve this problem, we can use algebra. Let x be the length of the shorter piece of wood.

Since one piece is three times as long as the other, we know that the longer piece is 3x.

The total length of the wood is the sum of the length of the two pieces, so:

x + 3x = 8 feet

Combining like terms on the left side of the equation gives:

4x = 8

To find the value of x, we can divide both sides of the equation by 4:

x = 8/4

x = 2

So the shorter piece of wood is 2 feet long. This is choice D.

Answer 2

C. 2 feet long.
Because 3x + x =8
4x=8
x=2