Calculating Percentages and Ratios

This video tutorial teaches how to solve multi-step percent problems using proportions and equations. It begins with an introduction to percent problems, followed by a review of writing percent proportions and using visual representations. The tutorial then explores three methods for solving percent problems using proportions: equal between ratios, equal within ratios, and equal cross products. Finally, it demonstrates solving percent problems using equations by converting percentages to decimals and multiplying by the total amount. The video emphasizes that all methods yield the same results, allowing learners to choose their preferred approach.

If 10% of people prefer mint ice cream, how many mint cones would you expect to sell out of 300?

• 10

• 20

• 30

• 40

What is the percent proportion formula?

• Whole equals part times percent

• Part over whole equals percent over 100

• Part equals whole times percent

• Whole over part equals percent over 100

How many parts are there in a visual representation of 500 pieces split into 10 parts?

• 15

• 10

• 5

• 20

What variable is used for vanilla in the proportion method?

• s

• c

• m

• v

Which method uses the concept of equal between ratios?

• Cross products

• Within ratios

• Between ratios

• Decimal conversion

What is the between ratio used in the example for solving proportions?

• 4

• 2

• 3

• 5

How do you solve proportions using within ratios?

• By finding equal cross products

• By using a variable

• By converting to decimals

• By finding a common multiplier

What is the decimal equivalent of 50%?

• 0.5

• 0.05

• 50

• 5

How do you calculate the number of chocolate chip cones sold if 15% prefer it?

• Multiply 15 by 300

• Divide 300 by 15

• Multiply 0.15 by 300

• Add 15 to 300

What is the final step in solving percent problems using equations?

• Add the percentages

• Subtract the percentages

• Multiply the decimal by the total

• Divide the total by the decimal