Solve.
-A 396 -foot rope is cut into three pieces. The second piece is twice as long as the first. The third piece is 3 times as long as the second. How long is each piece of rope?
A) First: $66 \mathrm{ft}$; second: $132 \mathrm{ft}$; third: $396 \mathrm{ft}$
B) First: $44 \mathrm{ft}$; second: $88 \mathrm{ft}$; third: $264 \mathrm{ft}$
C) First: $50 \mathrm{ft}$; second: $99 \mathrm{ft}$; third: $297 \mathrm{ft}$
D) First: $50 \mathrm{ft}$; second: $99 \mathrm{ft}$; third: $248 \mathrm{ft}$

Question

Quizplus · Accepted Answer

Let the length of the first piece be $x$. The second piece is $2x$ and the third piece is $3 \times 2x = 6x$. The total length is $x + 2x + 6x = 9x = 396$. Solving for $x$ gives $x = 44$, making the lengths $44 \mathrm{ft}$, $88 \mathrm{ft}$, and $264 \mathrm{ft}$ respectively.

Solve -A 396 -Foot Rope Is Cut into Three Pieces 66ft66 \mathrm{ft}66ft

Solve
-A 396 -Foot Rope Is Cut into Three Pieces $66 \mathrm{ft}$