Question

Nancy weighs 45.5kg. If she reduces her weight in the ratio 5:4, find her new weight? 

Answer 1

present weight=45.5kg
let new weight=x kg
given ratio =5:4
so,45.5:x::5:4
⇒45.5*4=5x
182=5x
x=182/5
x=36.4kg

Answer 2

Given weight of Nancy = 45.5 kg

Reduced present weight be x kg.

Ratio = 45.5 : x

But the given ratio = 5 : 4

45.5 : x = 5 : 4

5x = 4(45.5)

5x = 182

x = 36.4

Nancy's reduced weight = 36.4 kg