A wire 180 cm long is to be cut into two pieces so that one piece is five times as long as the other. Find the length of each piece.
A) The length of the first piece is 30 cm,
The length of the second piece is 150 cm.
B) The length of the first piece is 90 cm,
The length of the second piece is 90 cm.
C) The length of the first piece is 32 cm,
The length of the second piece is 148 cm.
D) The length of the first piece is 35 cm,
The length of the second piece is 145 cm.
E) The length of the first piece is 50.5 cm,
The length of the second piece is 129.5 cm.

Question

A wire 180 cm long is to be cut into two pieces so that one piece is five times as long as the other. Find the length of each piece.
A) The length of the first piece is 30 cm,
The length of the second piece is 150 cm.
B) The length of the first piece is 90 cm,
The length of the second piece is 90 cm.
C) The length of the first piece is 32 cm,
The length of the second piece is 148 cm.
D) The length of the first piece is 35 cm,
The length of the second piece is 145 cm.
E) The length of the first piece is 50.5 cm,
The length of the second piece is 129.5 cm.

Quizplus · Accepted Answer

Let the length of the shorter piece be x cm. Then, the length of the longer piece is 5x cm. The total length is x + 5x = 6x cm. Given that the total length is 180 cm, we have 6x = 180, solving for x gives x = 30 cm. Therefore, the length of the shorter piece is 30 cm, and the length of the longer piece is 5 * 30 = 150 cm.

A Wire 180 Cm Long Is to Be Cut into Two