Answer:
10 cups for 30 people
15 cups for 45 people
Explanation:
Since this is a ratio problem and we only need to find the value of one variable (how many people can be served) then we can use the Rule of Three to solve this problem like so...
2 cups <========> 6 people
10 cups <========> x people
(10*6) / 2 = x ... cross multiply the two available numbers and divide by the third
30 people = x
We can now see that 10 cups of rice can feed 30 people ... Now we can use the same process to find the number of cups needed for 45 people.
2 cups <========> 6 people
x cups <========> 45 people
(45*2) / 6 = x
15 cups = x