Question

A 440 wire is cut into three pieces the second piece is two times as long as the first the third piece is four times as long as the second how long is each piece

Answer 1

Step-by-step explanation:

$x \: as \: the \: first \: piece \\ 2x \: as \: the \: second \: piece \\ 4(2x) = 8x \: as \: the \: third \: piece$

$x + 2x + 8x = 440 \\ 11x = 440 \\ x = \frac{440}{11} \\ x = 40 \\ 2x = 2 \times 40 = 80 \\ 8x = 8 \times 40 = 320$