contestada

The total height of all three of Thumbelina’s sisters is 60 cm. If the heights of the three sisters are in the ratio 4:3:5, find the height of the shortest sister.

Respuesta :

nap14hockey
4x+3x+5x = 60

12x = 60

x =5

Since the shortest sister is in ratio of three, multiply the "x" factor by three.

5 * 3 = 15

15 cm
JeanaShupp

Answer: 15 cm

Step-by-step explanation:

Given : The total height of all three of Thumbelina’s sisters is 60 cm.

The heights of the three sisters are in the ratio 4:3:5 .

Let the heights of the three sisters are 4x , 3x and 5x.

According to the question , we have the following equation :-

[tex]4x+3x+5x=60\\\\\Rightarrow\ 12x=60\\\\\Rightarrow\ x=\dfrac{60}{12}=5[/tex]

Now, the height of the shortest sister will be :-

[tex]3x=3(5)=15\ cm[/tex]

Hence, the height of the shortest sister = 15 cm