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
2 answers:
Answer:
The answer to your question is: first piece = 4 in, second piece = 8 in, third piece = 12 in
Step-by-step 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:
- 4 in
- 8 in
- 12 in
Step-by-step 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
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