Question

For every 1 litre of water used to make a medicine, 150 ml of sucrose and 600ml of saline solution are used. Express the amount of water, sucrose and saline solution needed as a ratio in its simplest form.

Answer 1

Quantity of water used to make a medicine :-

`= \texttt{1 \: litre }`

`=\texttt{ 1×1000 \: ml}`

`=\texttt{\color{hotpink} 1000 \: ml}`

This quantity of water required to make a medicine = 1000 ml

Quantity of sucrose used to make a medicine = 150 ml

Quanity of saline solution used to make a medicine = 600 ml

The quantity of water to sucrose to saline solution needed to make a medicine as a ratio :-

`= \texttt{1000 : 150 : 600}`

Cutting each common zero in this ratio, we get :-

`= \texttt{100 : 15 : 60}`

Dividing each number in the ratio by 5, we get the ratio :-

`=\texttt{ \color{hotpink}20 : 3 : 12}`

Since, the three numbers in this ratio doesn't have any common factors we can conclude that we have found out the simplest form of the ingredients needed to make the medicine .

Therefore, the ratio of water to sucrose to saline solution needed to make a medicine = 20:3:12