Given:
1) A hairdresser uses 800ml of shampoo and 320 ml of conditioner on a daily basis.
The ratio from a to b is writtenn as,
![a\colon b\text{ that is }(a)/(b)](https://img.qammunity.org/2023/formulas/mathematics/college/vf0colc4ixkmqy0ecz4zp8hot9s127ujhb.png)
So, the ration of shampoo to the conditioner is,
![(800)/(320)=(5)/(2)](https://img.qammunity.org/2023/formulas/mathematics/college/j4t14umzeg0n5lbvq04ir1b8oc8l1388gx.png)
Answer: 5:2.
2) sugar and flour are mixed in the ratio 2:3
![\text{sugar:flour}=2\colon3](https://img.qammunity.org/2023/formulas/mathematics/college/vy77djqty61ee80z2m5pymabkl6qhabnh3.png)
Let x be the amount of sugar is used with 600 g of flour.
![\begin{gathered} (2)/(3)=(x)/(600) \\ 2*600=3x \\ 1200=3x \\ x=(1200)/(3) \\ x=400\text{ g} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/cv70pc0fxjqmfxm4lsliw7xp9bn9uhs9ft.png)
Answer: 400 g of suger is used.