Question

A 24 inch board is cut into 3 pieces so that the second piece is twice as long as the first and the third is 3 times as long as the first puece. If x represents the length of the first piece find the lengths of all three pieces

Answer 1

The answer to your question is: first piece = 4 in, second piece = 8 in, third piece = 12 in

Explanation:

Data

total length = 24 inches

first piece = x in

second piece = 2x

third piece = 3x

Equation

x + 2x + 3x = 24

6x = 24

x = 24/6

x = 4 length of the first piece

second piece = 2(4) = 8 inches

third piece = 3(4) = 12 inches

Answer 2

1. 4 in
2. 8 in
3. 12 in

Explanation:

The total length of the three pieces is ...

x + 2x + 3x = 24 . . . . inches

6x = 24 . . . . . . . . . . . collect terms

x = 4 . . . . . the length in inches of the first piece

2x = 8 . . . . the length in inches of the second piece

3x = 12 . . . . the length in inches of the third piece