Question:
For every 1 litre of water used to make a medicine, 600 ml of sucrose and 150ml of saline solution are used.
Express the amount of water, sucrose and saline solution needed as a ratio in its simplest form.
Answer:
![Water : Sucrose : Saline = 20 : 3 : 12](https://img.qammunity.org/2022/formulas/mathematics/high-school/wdoeqkyct5d0jp2cgovd8w1jvsanfyjbp9.png)
Explanation:
Given
![Water = 1L](https://img.qammunity.org/2022/formulas/mathematics/high-school/uzkqf5klo8c58p9ubjume8bkggau9xi8zj.png)
![Sucrose = 150mL](https://img.qammunity.org/2022/formulas/mathematics/high-school/9y3db1i2lp7bhwlfofekuxmegoxqvsu0z1.png)
![Saline= 600mL](https://img.qammunity.org/2022/formulas/mathematics/high-school/5io2kde5l0o30cn9tmo2v1nzhyng633dik.png)
Required
Express as a ratio to the simplest form
First convert the volume of water to mL
![Water = 1L](https://img.qammunity.org/2022/formulas/mathematics/high-school/uzkqf5klo8c58p9ubjume8bkggau9xi8zj.png)
![Water = 1 * 1000mL](https://img.qammunity.org/2022/formulas/mathematics/high-school/pdmxbgrchqvusotagl91xg9l89aiyc98mr.png)
![Water = 1000mL](https://img.qammunity.org/2022/formulas/mathematics/high-school/ioz6iptytyjh3zd70pmosp4nrsazdec62u.png)
Express as ratio:
![Water : Sucrose : Saline = 1000mL : 150mL : 600mL](https://img.qammunity.org/2022/formulas/mathematics/high-school/qz1k6tcn7plkhknxxed9igbddd9c1pj6ce.png)
![Water : Sucrose : Saline = 1000 : 150 : 600](https://img.qammunity.org/2022/formulas/mathematics/high-school/nysr7a463faua6ratdxrxamergwzzegvas.png)
Divide through by 10
![Water : Sucrose : Saline = 100 : 15 : 60](https://img.qammunity.org/2022/formulas/mathematics/high-school/t4727b5eghq565fbjjs9xlpkmt2pvy313w.png)
Divide through by 5
![Water : Sucrose : Saline = 20 : 3 : 12](https://img.qammunity.org/2022/formulas/mathematics/high-school/wdoeqkyct5d0jp2cgovd8w1jvsanfyjbp9.png)
The ratio can not be further simplified