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.

Respuesta :

Quantity of water used to make a medicine :-

[tex]= \texttt{1 \: litre }[/tex]

[tex] =\texttt{ 1×1000 \: ml}[/tex]

[tex] =\texttt{\color{hotpink} 1000 \: ml}[/tex]

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 :-

[tex] = \texttt{1000 : 150 : 600}[/tex]

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

[tex] = \texttt{100 : 15 : 60}[/tex]

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

[tex] =\texttt{ \color{hotpink}20 : 3 : 12}[/tex]

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