Exploring Percent Proportions and Their Applications

In this video tutorial, Jeff Jacobson explains how to solve percent problems using proportions. The lesson begins with an introduction to the concept of proportions and how they relate to percentages. Three types of problems are discussed: finding the part, the whole, and the percent. Each type is demonstrated through examples, with step-by-step solutions provided. The video concludes with a summary and practice problems for viewers to try on their own.

What is the first step in converting a percentage to a fraction for solving problems?

• Write the percentage over 100

• Subtract 100

• Divide by 100

• Multiply by 100

What does the denominator in a fraction represent in percent problems?

• The part

• The numerator

• The percent

• The whole

How can you simplify the solving process of proportions?

• By using cross products

• By simplifying fractions first

• By multiplying both sides by 100

• By adding 100 to both sides

What does 'is' represent in a proportion problem?

• The denominator

• The whole

• The part

• The percent

What simplification technique is useful in solving proportions?

• Adding the same number to both sides

• Finding common factors

• Converting all numbers to percentages

• Multiplying both sides by the same number

Tags

CCSS.7.EE.B.3

When given a percent, what should you immediately do in your proportion?

• Place it in the numerator

• Divide it by the part

• Place it over 100

• Multiply it by the whole

What is 36% of 50?

• 25

• 18

• 50

• 36

Tags

CCSS.6.RP.A.3C

How do you find the whole when given a part and its percent?

• Multiply the part by the percent

• Divide the part by the percent

• Use cross multiplication

• Subtract the percent from 100

Tags

CCSS.6.RP.A.3C

What does a percent greater than 100 indicate in a problem?

• The problem is unsolvable

• The part is less than the whole

• The whole is less than the part

• The percent is incorrect

What is the result of 150% of a number being 24?

• 150

• 16

• 24

• 36

Tags

CCSS.6.RP.A.3C