Understanding Ratios and Proportions

The video tutorial introduces the concept of ratios, explaining how they compare two quantities by division. It demonstrates three ways to write ratios: using words, colons, and fractions. The tutorial includes four examples: comparing green and yellow buttons, analyzing ice cream survey results, evaluating doughnut sales, and grouping students. Each example illustrates how to write and simplify ratios, providing practical applications of the concept.

What is a ratio?

• A comparison of two quantities by division

• A comparison of two quantities by addition

• A comparison of two quantities by multiplication

• A comparison of two quantities by subtraction

Which of the following is NOT a way to write a ratio?

• Using a colon

• Using a fraction

• Using a semicolon

• Using the word 'to'

If there are 3 green buttons and 6 yellow buttons, what is the simplified ratio of green to yellow buttons?

• 1:3

• 1:2

• 2:3

• 3:2

In a survey, 5 people chose strawberry ice cream out of 30. What is the simplified ratio of strawberry lovers to total people?

• 1:5

• 1:6

• 5:30

• 5:25

How many people were surveyed in total for the ice cream flavor survey?

• 30

• 25

• 35

• 40

If 7 glazed doughnuts were sold out of 35 total doughnuts, what is the simplified ratio of glazed to total doughnuts?

• 1:5

• 1:6

• 1:7

• 1:4

What does the ratio 1:5 mean in the context of doughnut sales?

• For every 1 glazed doughnut, 5 doughnuts are sold

• For every 5 glazed doughnuts, 1 doughnut is sold

• For every 1 doughnut, 5 are glazed

• For every 5 doughnuts, 1 is glazed

Mr. Smith wants to split his 20 students into two groups with a ratio of 3:4. How many students will be in each group?

• 6 and 14

• 9 and 11

• 12 and 8

• 12 and 16

Which of the following ratios is equivalent to 3:4?

• 6:8

• 9:10

• 15:18

• 12:15

If Mr. Smith has 28 students, which group sizes would NOT work for a 3:4 ratio?

• 6 and 8

• 9 and 12

• 12 and 16

• 15 and 20