Question

Rinki has a ribbon 40 m long. She cuts it into three
pieces. The longest piece is three times as long as
the middle piece and the shortest piece is 23 m
shorter than the longest piece. Find the length of the
shortest piece of the ribbon.​

Answer 1

Answer:

The answer is:

Step-by-step explanation:

Let the three pieces be x, y, and z

Let the longest piece be x, the shortest be z and the middle-sized piece be y.

Now, as per the question:

x + y + z = 40 ———————————-equation 1

x = 3y

or y = x / 3 ——————————————-equation 2

z = x - 23 —————————————equation 3

Putting values of y and z (from equation 2 and 3) in equation 1, we get

x + (x / 3) + (x - 23) = 40

2x + (x / 3) = 40 + 23

7x / 3 = 63

x = (63 * 3) / 7

x = 9 * 3

x = 27

Now, put this value of x in equation 3

z = x - 23

z = 27 - 23

z = 4

Therefore, the length of the shortest piece is 4 cm.