Solve.
-A 209-foot rope is cut into three pieces. The second piece is twice as long as the first. The third piece is 4 times as long as the second. How long is each piece of rope?
A)First: 19 ft; second: 38 ft; third: 152 ft
B)First: 26 ft; second: 52 ft; third: 131 ft
C)First: 30 ft; second: 60 ft; third: 239 ft
D)First: 26 ft; second: 52 ft; third: 209 ft

Question

Quizplus · Accepted Answer

Let the length of the first piece be x. The second piece is 2x, and the third piece is 4(2x) = 8x. The total length is x + 2x + 8x = 11x = 209 feet. Solving for x gives x = 19 feet. Therefore, the lengths are 19 ft, 38 ft (2x), and 152 ft (8x).

Solve. -A 209-Foot Rope Is Cut into Three Pieces. the Second