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 multiplication

• A comparison of two quantities by division

• A comparison of two quantities by subtraction

• A comparison of two quantities by addition

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

• 5 plus 7

• 5 is to 7

• 7 is to 5

• 7 minus 5

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

• 7

• 5

• 2

• 12

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

• 4 minus 13

• 13 is to 4

• 13 plus 4

• 4 is to 13

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

• 9 is to 5

• 5 is to 9

• 18 is to 10

• 10 is to 18

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

• 5 is to 14

• 10 is to 28

• 14 is to 5

• 28 is to 10

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

• 50%

• 100%

• 70%

• 35%

What percentage does the ratio 15 is to 100 represent?

• 15%

• 85%

• 100%

• 50%

If a ratio has a second term of 100, how is it expressed?

• As a fraction

• As a percentage

• As a decimal

• As a whole number

What is the ratio of raw mangoes to ripe mangoes if there are 15 raw and 100 ripe?

• 85 is to 15

• 15 is to 100

• 100 is to 15

• 15 is to 85