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 used for in mathematics?

• To multiply two quantities

• To subtract two quantities

• To compare two quantities of the same kind by division

• To add two quantities

In the ratio 5:7, what does the number 5 represent?

• The second term

• The total of both terms

• The first term

• The difference between the terms

What is the ratio of balloons to kites if there are 7 balloons and 5 kites?

• 5:7

• 2:1

• 7:5

• 1:1

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

• 13:4, 13 to 4, 13/4

• 4+13, 4-13, 4*13

• 4:13, 4 to 13, 4/13

• 13+4, 13-4, 13*4

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

• 13 to 4

• 13/4

• 13:4

• 4:13

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

• 18:10

• 9:5

• 5:9

• 10:18

If there are 10 cows and 28 total animals, what is the ratio of cows to total animals?

• 28:10

• 14:5

• 5:14

• 10:28

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?

• 85%

• 50%

• 100%

• 15%

What is the first step in converting a ratio to a percentage?

• Write the ratio as a fraction

• Multiply the ratio by 100

• Add the terms of the ratio

• Subtract the terms of the ratio