Question

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

Answer 1

Step-by-step explanation:

Given : 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

• To find : what is the quantity of fruit extract and the smoothie

Solution:

Let say Fruit extract = 5A Litre

Then Yoghurt = A Litre

Total mixture = 6A Litre

5 Litre Yoghurt added

hence Yogurt = A + 5

5A /( A + 5) = 5/2

=> 10A = 5A + 25

=> 5A = 25

original Fruit extract = 25 Litre

Yogurt = 5 Litre