Barneys younger sister is 1.1 metres tall barney is 1/5 taller than his younger sister his older sister is 1/6 taller than barney how tall is his older sister

Question

It’s is a question which Includes fractions and decimals

Answer 1

Not sure what the question is but I solved for Barney's height and his younger sister's height

 

Let Y = Barney's younger sister height (m)

 

     B = Barney's height (m)

 

 

     O = Barney's older sister height (m)

 

1)   Y = 1.1 

 

2)   B = (1/5)*Y + Y = (6/5)*Y

 

 

3)   O  = (1/6)*B + B = (7/6)*B

 

Substitute Y = 1.1 = 1 + 1/10 = 11/10 into equation 2) and solve for B:

 

B = (6/5)*Y = (6/5)*(11/10) = 66/50 = 33/25 meter or 1.32 meters   (Barney's height)

 

O = (7/6)*B = (7/6)*(33/25) = 231/150  = 1.54 meters  (Barney's older sister's height)