Q:

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

Accepted Solution

A:
Answer:The answer to your question is:  first piece = 4 in, second piece = 8 in, third piece = 12 inStep-by-step explanation:Datatotal length = 24 inchesfirst piece = x insecond piece = 2xthird piece = 3xEquation                x + 2x + 3x = 24                6x = 24                x = 24/6                x = 4               length of the first piecesecond piece = 2(4) = 8 inchesthird piece = 3(4) = 12 inches