1) 1750 was shared between 3 persons in the ratio 3 : 5 : 8. What is the amount of the smallest portion?
Well, you have a ratio of three quantities. So, let's consider a simpler problem. Suppose you had 1750 candies to split among two people in a ratio of 4 : 6. That means that for every 10 candies you have, 4 go to Person A and 6 go to Person B. Knowing this, how would you find the total number of candies Person A has? And then can you apply similar reasoning to the actual problem?
2) A population of 120 students is in the ratio of 1 : 9. How many students are there to 4 teachers?
This question's a bit unclear, but I'm assuming that we're meant to infer that the ratio of students to teachers is 1 : 9. With that assumption in mind, we can note that for every ten people in the classroom, there are 9 students and 1 teacher. So, if there were 4 teachers, how many students would there be?
3) 240 oranges were shared between Dave, Karen, and Sam in the ratio 4 : 10 : 6. How many oranges did Dave receive if Sam got 72?
Using the same logic as in the previous ones, how many items are there in each grouping? And then how many of those groupings would you need to make up the 240 oranges? You may note that the problem asks how many oranges Dave received
if Sam received 72. So, when solving, how many oranges did you find that Sam received? Does that match how many the problem says Sam received? If not, by what factor does it need to be adjusted to match?
