2 liters of bottle will last for 11 days
Solution:
Given that six donkeys are each given two 5 ml spoon of medicine three times each day
To find: number of days 2 liter bottle will last
From given question,
six donkeys are each given two 5 ml spoon
Therefore, six donkeys are each given 10 ml spoon of medicine ( since two 5 ml = 2 x 5 = 10 ml)
six donkeys each given 10 ml
Therefore, one donkey = 10 ml
For 6 donkeys,
6 donkey = 6 x 10 ml = 60 ml
Therefore, for 6 donkeys, they give 60 ml medicine three times a day
one time = 60 ml
three times a day = 3 x 60 ml = 180 ml
Thus for one day, 6 donkeys are given 180 ml of medicine
Let us convert 180 ml to liter
We know that,
1 liter = 1000 milliliter
Therefore,
[tex]1 \text{ ml} = \frac{1}{1000} \text{ liter }[/tex]
[tex]180 \text{ ml} = \frac{1}{1000} \times 180 \text{ liter }\\\\180 \text{ ml} = 0.18 \text{ liter }[/tex]
Now to find the number of whole days a 2 litre bottle will last:
Let "x" be the number of days 2 liter bottle will last
For one day, 6 donkeys are given 0.18 liter of medicine
1 day = 0.18 liter
"x" days = 2 liter
This forms a proportion
By cross multiplication, we get
[tex]2 \times 1 = x \times 0.18\\\\x = \frac{2}{0.18}\\\\x = 11.11 \approx 11[/tex]
Thus 2 liters of bottle will last for 11 days