Exploring Ratios and Their Applications

This video tutorial introduces the concept of ratios, starting with definitions and examples. It covers how to write and interpret ratios, including part-to-part and part-to-whole ratios. The tutorial also explains how to determine if ratios are equivalent using multiplication. Practice problems are provided to reinforce learning, and the session concludes with a summary and an invitation to join a Zoom session for further questions.

What is a ratio?

• A comparison of one value

• A comparison of two values

• A comparison of four values

• A comparison of three values

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

• Using the word 'to'

• Using a semicolon

• Using a colon

• Using a fraction

How would you write the ratio of 6 pennies to 7 quarters?

• 7;6

• 6;7

• 7:6

• 6:7

If you have 7 quarters and 3 dimes, how would you write the ratio of quarters to dimes?

• 3:7

• 3;7

• 7:3

• 7;3

What does the ratio 1:2 mean in terms of rubies to diamonds?

• There are half as many rubies as diamonds

• There are equal numbers of rubies and diamonds

• There are twice as many rubies as diamonds

• There are three times as many rubies as diamonds

If the number of rubies is four times the number of diamonds, what is the ratio of rubies to diamonds?

• 1:4

• 4:1

• 2:1

• 1:2

How do you determine if two ratios are equivalent?

• By dividing both parts of one ratio by the same number to get the other ratio

• By multiplying both parts of one ratio by the same number to get the other ratio

• By subtracting the same number from both ratios

• By adding the same number to both ratios

Are the ratios 4:3 and 20:15 equivalent?

• Yes, because 4*5=20 and 3*5=15

• No, because 4*5=20 but 3*5≠15

• Yes, because 4+16=20 and 3+12=15

• No, because 4+16≠20 and 3+12≠15

What is the ratio of circles to triangles if there are 6 circles and 5 triangles?

• 6;5

• 6:5

• 5:6

• 5;6

In a recipe, the ratio of water to tomato paste is 3:4. If you need 35 fluid ounces of tomato sauce, how many fluid ounces of tomato paste do you need?

• 15

• 20

• 25

• 30