Understanding Ratios and Percentages

The video tutorial introduces the concept of ratios, explaining how they are used to compare two quantities of the same kind by division. It provides examples using kites and balloons, puppies and dogs, and a story problem involving cows and hens. The tutorial also covers how to express ratios as percentages, using examples like raw and ripe mangoes. Throughout, the importance of understanding the order of terms in a ratio and reducing ratios to their simplest form is emphasized.

What is a ratio?

• A comparison of two quantities by subtraction

• A comparison of two quantities by multiplication

• A comparison of two quantities by addition

• A comparison of two quantities by division

How is the ratio of 5 kites to 7 balloons written?

• 7:5

• 5-7

• 5:7

• 7-5

What is the first term in the ratio 5:7?

• 12

• 5

• 7

• 2

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

• 4-13

• 4:13

• 13-4

• 13:4

What is the simplified form of the ratio 18 hens to 10 cows?

• 10:18

• 5:9

• 9:5

• 18:10

What is the ratio of cows to the total number of animals if there are 10 cows and 28 animals in total?

• 5:14

• 14:5

• 10:28

• 28:10

What is the simplified form of the ratio 10 cows to 18 hens?

• 10:18

• 9:5

• 5:9

• 18:10

How is the ratio 35:100 expressed as a percentage?

• 50%

• 70%

• 100%

• 35%

What percentage does the ratio 15 raw mangoes to 100 ripe mangoes represent?

• 15%

• 100%

• 50%

• 85%

If a ratio is expressed as 15:100, what is its percentage form?

• 15%

• 85%

• 50%

• 100%