Understanding Percent Proportions

This video tutorial explains how to solve percent problems using the percent proportion method. It begins with a review of proportions and demonstrates how to solve them using cross products. The video then introduces the percent proportion method, which involves setting up a proportion where the part is to the whole as the percent is to 100. Several example problems are solved to illustrate the method, and real-world applications are discussed, such as calculating interest and calorie reduction.

What is a proportion in mathematical terms?

• A way to calculate percentages

• A comparison of two numbers by division

• A statement that two ratios are equal

• A method to solve equations

In a proportion, what is true about the cross products?

• They are always greater than 100

• They are always different

• They are equal

• They are always zero

How do you set up a percent proportion?

• Percent over part equals whole over 100

• Part over whole equals percent over 100

• Part over percent equals whole over 100

• Whole over part equals percent over 100

If 56 is what percent of 40, what is the correct setup?

• 40 over 56 equals p over 100

• p over 56 equals 40 over 100

• 56 over 40 equals p over 100

• 56 over p equals 40 over 100

What is the first step in solving a percent problem using proportions?

• Multiply the numbers

• Add the numbers

• Identify the whole and the part

• Subtract the numbers

What is the purpose of using key words like 'is' and 'of' in percent problems?

• To eliminate the need for calculations

• To confuse the solver

• To make the problem harder

• To identify the numerator and denominator

What is the logical order to remember 'is over of'?

• Reverse order

• Numerical order

• Random order

• Alphabetical order

How much interest will Lupe pay in the first year on a $4000 loan at 12% interest?

• $400

• $520

• $480

• $450

If a light ice cream has 25% fewer calories than regular, what percent of calories remain?

• 50%

• 75%

• 25%

• 100%

How many calories are in two cups of light ice cream if one cup has 262.5 calories?

• 262.5

• 525

• 350

• 700