Answer:
(a) 1:2
(b) 6 cups
(c)
![(2)/(3)](https://img.qammunity.org/2020/formulas/mathematics/high-school/31tr2rxxvik3mwt65yx3r920qibzbnl6y1.png)
Explanation:
(a) Given,
amount of rice mixture contains= 1 cup
amount of water mixture contains= 2 cups
![\textrm{So, the ratio of rice to water}\ =\ \frac{\textrm{amount of rice in mixturte}}{\textrm{amount of water in mixture}}](https://img.qammunity.org/2020/formulas/mathematics/college/303dnjg6q3pf73627ej5sg4q7hvmq17o8l.png)
![=\ (1)/(2)](https://img.qammunity.org/2020/formulas/mathematics/college/ynynfjwgmq5qlffry5biojxa7ofcf80rkc.png)
So, the ratio of rice to water is 1:2.
(b) Amount of rice in mixture = 3 cups
![\textrm{So, the ratio of rice to water}\ =\ \frac{\textrm{amount of rice in mixturte}}{\textrm{amount of water in mixture}}](https://img.qammunity.org/2020/formulas/mathematics/college/303dnjg6q3pf73627ej5sg4q7hvmq17o8l.png)
![=>\ (1)/(2)\ =\ \frac{3}{\textrm{amount of water in mixture}}](https://img.qammunity.org/2020/formulas/mathematics/college/sqlx3ywqwpt7ycmkcnxc11j04fg5fxpe6s.png)
=> amount of water in mixture = 3 x 2
= 6 cups
(c)
![\textrm{amount of rice in mixture}\ =(1)/(3)](https://img.qammunity.org/2020/formulas/mathematics/college/2izhjmjaz2ox5xuq1l77eobv35j1kiig0a.png)
![\textrm{So, the ratio of rice to water}\ =\ \frac{\textrm{amount of rice in mixturte}}{\textrm{amount of water in mixture}}](https://img.qammunity.org/2020/formulas/mathematics/college/303dnjg6q3pf73627ej5sg4q7hvmq17o8l.png)
![=>\ (1)/(2)\ =\ \frac{(1)/(3)}{\textrm{amount of water in mixture}}](https://img.qammunity.org/2020/formulas/mathematics/college/8l502av1foumc4s6boxjxrxs5oew1xurwg.png)
![=>\textrm{amount of water in mixture}\ =\ (2)/(3)](https://img.qammunity.org/2020/formulas/mathematics/college/xsb93wrlupt3htmb7zyyoohyxkmxdegm93.png)
So, the amount of water in the mixture will be
cup.