Ratios and Rates: Working With Ratios

The video tutorial explains how to scale a recipe by maintaining the ratio of ingredients when the number of people increases. It introduces the concept of equivalent ratios, demonstrating that multiplying both terms of a ratio by the same number results in an equivalent ratio. The tutorial also covers simplifying ratios by dividing both terms by their greatest common divisor, using the example of golf balls to illustrate the process.

If you have 2 cups of raisins and 3 cups of cashews, how many cups of each would you need if the number of people triples?

• 4 cups of raisins and 6 cups of cashews

• 8 cups of raisins and 12 cups of cashews

• 10 cups of raisins and 15 cups of cashews

• 6 cups of raisins and 9 cups of cashews

What is the term for two ratios that express the same relationship?

• Direct ratios

• Inverse ratios

• Proportional ratios

• Equivalent ratios

How can you simplify the ratio 15 to 6?

• 7 to 3

• 10 to 4

• 5 to 2

• 3 to 1

What is the greatest common divisor of 15 and 6?

• 2

• 3

• 4

• 5

If a ratio is simplified from 15 to 6, what is the new ratio?

• 7 to 3

• 3 to 1

• 5 to 2

• 10 to 4