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

Question

3 years ago

5

the first puece. If x represents the length of the first piece find the lengths of all three pieces

2 answers:

Lady_Fox [76] · Answer 1 · 2022-09-06T05:27:32+03:00

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

yulyashka [42] · Answer 2 · 2022-09-06T07:23:13+03:00

Answer:

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