Understanding Ratios and Their Applications

The video tutorial introduces the concept of ratios, explaining how they compare two quantities of the same kind by division. It provides examples using kites and balloons, and puppies and dogs, to illustrate how ratios are written and interpreted. A story problem involving cows and hens is solved to demonstrate practical applications of ratios. The tutorial also covers how to express ratios as percentages, using examples like raw and ripe mangoes.

What is a ratio used for in mathematics?

• To add two quantities

• To compare two quantities of the same kind by division

• To subtract two quantities

• To multiply two quantities

In the ratio 5:7, what is the first term?

• 7

• 2

• 5

• 12

What is the ratio of balloons to kites if the ratio of kites to balloons is 5:7?

• 5:7

• 7:5

• 1:1

• 2:3

How can the ratio of 13 puppies to 4 dogs be expressed?

• 4-13

• 13-4

• 4:13

• 13:4

Which of the following is NOT a way to express the ratio of 13 puppies to 4 dogs?

• 13:4

• 13/4

• 4:13

• 13 then colon then 4

What is the simplified form of the ratio 18:10?

• 18:5

• 5:9

• 10:18

• 9:5

If there are 10 cows and 18 hens, what is the ratio of cows to the total number of animals?

• 5:9

• 9:5

• 10:28

• 5:14

What is the simplified form of the ratio 10:28?

• 28:10

• 10:14

• 5:14

• 14:5

How do you express the ratio 35:100 as a percentage?

• 50%

• 70%

• 100%

• 35%

What is the percentage equivalent of the ratio 15:100?

• 15%

• 50%

• 100%

• 30%