Question

A smoothie contains fruit extracts and yogurt in the ratio 5 : 1. On adding 5 litres of yogurt the ratio of fruit extract to yogurt becomes 5 : 2 . What is the quantity of fruit extract in the smoothie ?​

Answer 1

Answer: 25 L

Step-by-step explanation:

Ratio = 5:1

Let the amount of fruit extract be 5x L and amount of yogurt be x L .

Amount of yogurt after adding 5 L = (x + 5) L .

Also the ratio of fruit extract and yogurt now = 5:2

Hence 5x:(x + 5)::5:2

=> 5(x + 5) = 5x*2

=> x + 5 = 2x

=> 5 = x

So the amount of fruit extract in the smoothie = 5x = 25 L