Question

Six donkeys are each given two 5ml spoon of medicine three times each day. calculate the number of whole days a 2 litre bottle will last.

the answer is 11 but how?​

Answer 1

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,

`1 \text{ ml} = (1)/(1000) \text{ liter }`

`180 \text{ ml} = (1)/(1000) * 180 \text{ liter }\\\\180 \text{ ml} = 0.18 \text{ liter }`

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

`2 * 1 = x * 0.18\\\\x = (2)/(0.18)\\\\x = 11.11 \approx 11`

Thus 2 liters of bottle will last for 11 days