Solving Percent Problems with the Percent Equation

The video tutorial by Jeff Jacobson explains the percent equation, which is a = P times W, where a is the part, P is the percent (expressed as a fraction or decimal), and W is the whole. The tutorial covers solving percent problems using both proportions and the percent equation. Three examples are provided: finding a part given a percent and whole, finding a percent given a part and whole, and finding the whole given a part and percent. The video emphasizes the importance of converting percentages to fractions or decimals and provides step-by-step solutions to each example.

What does 'a' represent in the percent equation a = P * W?

• The whole

• The variable

• The part

• The percent

In the percent equation, how should the percent be written?

• As a whole number

• With a percent symbol

• As a fraction or decimal

• As a variable

What is the first step in solving 'What number is 24 percent of 50?' using a proportion?

• Write 50 as a fraction

• Divide both sides by 24

• Multiply both sides by 50

• Write 24% as 24 out of 100

What is the result of 24 divided by 2 in the context of the first example?

• 10

• 12

• 15

• 20

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CCSS.3.OA.A.3

In the second example, what is the first step to isolate the variable P?

• Add 25 to both sides

• Subtract 25 from both sides

• Divide both sides by 25

• Multiply both sides by 25

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CCSS.6.EE.B.7

What is 0.38 as a percent?

• 0.38%

• 38%

• 3.8%

• 380%

In the third example, what is 52% written as a decimal?

• 52.0

• 0.052

• 5.2

• 0.52

What is the final value of W in the third example?

• 52

• 39

• 100

• 75

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CCSS.1.NBT.C.4

CCSS.2.NBT.B.5

Why is it easier to work with 0.52 as a decimal in the third example?

• Because it simplifies the equation

• Because it is easier to multiply

• Because it avoids fractions

• Because it is a whole number

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CCSS.7.EE.B.3

What should you do after finding a decimal when solving for a percent?

• Leave it as a decimal

• Convert it to a fraction

• Change it back to a percent

• Multiply it by 100