Understanding Ratios and Percentages

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, balloons, puppies, and dogs to illustrate how ratios are written and interpreted. A story problem involving cows and hens is solved to demonstrate practical applications. The tutorial also covers converting ratios to percentages, emphasizing the importance of understanding ratios in various contexts.

What is a ratio?

• A comparison of two quantities by subtraction

• A comparison of two quantities by addition

• A comparison of two quantities by multiplication

• 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?

• 2

• 12

• 5

• 7

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

• 13:4, 13/4, 13-4

• 4:13, 4/13, 13:4

• 4:13, 13-4, 13/4

• 13:4, 13/4, 4:13

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

• 10:18

• 9:5

• 5:9

• 18:10

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

• 28:10

• 10:28

• 14:5

• 5:14

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

• 35%

• 50%

• 100%

• 70%

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

• 50%

• 15%

• 85%

• 100%

Which of the following is a correct way to express a ratio as a percentage?

• Subtract the second term from the first term and multiply by 100

• Multiply both terms by 100

• Divide the second term by the first term and multiply by 100

• Divide the first term by the second term and multiply by 100

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

• 15%

• 1.5%

• 100%

• 150%