Ruth cuts a piece of string into 3 parts there lengths are ratio 2:3:5. The longest part is 35 centimeters. How long is the shortest part

14 cm

Step-by-step explanation:

If three parts have the ratio between their lengths 2:3:5, then the shortest part has the length of 2x cm, the middle part - 3x cm and the longest part - 5x cm.

Since the longest part is 35 cm, then

5x=35,

x=7 cm.

So, the shortest part is 14 cm long.