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5-3 Solving Percent Problems Using Equations

Video Tutor Help Estimating using percents such as tipsEstimating using percents such as tips (5-3) Using percent equations to find part of a wholeUsing percent equations to find part of a whole (5-3) Using percent equations to find a whole amountUsing percent equations to find a whole amount (5-3) Solving Percent Problems Using Equations Khan Academy Sales tax

Video Tutor Help Writing percents as fractions Writing percents as decimals Writing decimals as percents Ordering rational numbers with percents Writing fractions as percents Finding a percent using proportions Finding part of a whole using proportions Find the whole amount using proportions Using percent equations to find part of a whole Using percent equations to find a whole amount Finding sales tax Estimating using percents such as tips Finding simple interest Finding percent of increase Finding percent of markup Finding percent of discount

Worksheets Daily Notetaking Guide Worksheets Version A Practice, Guided Problem Solving Lesson 5-3 Practice 5-3 Guided Problem Solving 5-3

Vocabulary Practice Vocabulary (Electronic) Flash Cards Ratios, Rates, and Proportions Vocabulary 5A: Graphic Organizer Vocabulary 5B: Reading Comprehension Vocabulary 5C: Reading/Writing Math Symbols Vocabulary 5D: Visual Vocabulary Practice Vocabulary 5E: Vocabulary C Vocabulary 5F: Vocabulary Review Puzzle

Additional Lesson Examples Step-by-Step Examples Lesson 5-3

Lesson Readiness Lesson Quiz Problem of the Day Lesson 5-3

Percent Equation The Percent Equation is an equivalent form of the percent proportion in which the percent is written as a decimal. The percent is written as a decimal. part base = percent part base * = percent * base part= percent * base Multiply each side by the base This form is called the percent equation

The Percent Equation Find the Part What number is 25% of 60? n = 0.25(60) Find the Percent 15 is what percent of 60? 15 = n(60) Find the Base15 is 25% of what number? 15 = 0.25n part

Example 7-3a 84 is 16% of what number? Estimate: 80 is 16% of 500. You know that the part is 84 and the percent is 16%. Let n represent the base. Divide each side by Write 16% as the decimal Find the Base

Example 7-3b Answer: 84 is 16% of 525. Simplify. The answer is reasonable since it is close to the estimate.

Example 6-3a 144 is 45% of what number? The part is 144, and the percent is 45%. Let n represent the base. Estimate 144 is 50% of 288. Write 45% as the decimal Divide each side by Simplify. Find the Base

Example 6-3b Answer: So, 144 is 45% of 320. Compare to the estimate.

Use an equation to solve: 18% of what number is 81? LESSON n = Divide each side by n = 450 Simplify. Solving Percent Problems Using Equations Equation0.18n=81 Words 18% of a number is 81. Let n = the number. Additional Examples

Example 7-1a Find 38% of 22. Estimate: 40% of 20 is 8. You know that that the base is 22 and the percent is 38%. Let n represent the part. Write 38% as the decimal Simplify. Answer: 38% of 22 is Find the Part

Example 6-1a Find 30% of 450. Answer: So, 30% of 450 is 135. Compare to the estimate. Estimate 10% of 450 is 45. So, 30% of 450 is or 135. The percent is 30%, and the base is 450. Let n represent the part. Write 30% as the decimal Simplify. Find the Part

Equationn = Use an equation to solve: 32% of 40 is what number? LESSON 5-3 n = = 12.8 Simplify. Solving Percent Problems Using Equations WordsA number is 32% of 40. Let n = the number. Additional Examples

Example 7-2a 19 is what percent of 25 ? You know that the base is 25 and the part is 19. Let n represent the percent. Divide each side by 25. Estimate:, which is 80%. Find the Percent

Example 7-2b Answer: 19 is 76% of 25. Simplify. The answer makes sense compared to the estimate.

Example 6-2a 102 is what percent of 150? The part is 102, and the base is 150. Let n represent the percent. Estimate Write the equation. Divide each side by 150. Simplify. Find the Percent

Example 6-2b Answer: In the percent equation, the percent is written as a decimal. Since 102 is 68% of 150.

Let p = the percent. WordsA percent of 200 is 45. Use an equation to solve: What percent of 200 is 45? LESSON p = Divide each side by 200. p 200=45Equation p 200 = 45 Simplify. 200p = 45p = Use a calculator. p = 22.5% Write the decimal as a percent. Solving Percent Problems Using Equations Additional Examples