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Percent Equation Problem Solving Lesson

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Learn to solve problems using the percent equation to find parts, totals, and percentages with practical examples and translations from English to algebra.

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Percent Equation Problem Solving Lesson

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  1. Transparency 2 Click the mouse button or press the Space Bar to display the answers.

  2. Splash Screen

  3. Example 2-4b Objective Solve problems by using the percent equation

  4. Example 2-4b Vocabulary Percent equation An equation that describes the relationship between the part, total, and percent Part = percent  total

  5. Lesson 2 Contents Example 1Find the Part Example 2Find the Percent Example 3Find the Total Example 4Apply the Percent Equation

  6. Example 2-1a What number is 46% of 200? x = 0.46  200 Translate from English to Algebra x = 92 Convert % to decimal Multiply Answer: x = 92 1/4

  7. Example 2-1b What number is 72% of 500? Answer: x = 360 1/4

  8. Example 2-2a Translate from English to algebra 26 is what percent of 32? Solve for x = x  26 32 Ask “what is being done to the variable?” The variable is being multiplied by 32 Do inverse on both sides of the equal sign 2/4

  9. Example 2-2a 26 is what percent of 32? Bring down 26 = 32x = x  26 32 Using the fraction bar, divide both sides by 32 x Combine “like” terms 0.8125 = 1  x Use the Identity Property to multiply 1  x 0.8125 = x Variable defined as “What Percent” so multiply by 100 Answer: 81.25 % = x Add percent sign % 2/4

  10. Example 2-2d 18 is what percent of 80? Answer: x = 22.5% 2/4

  11. Example 2-3a Translate from English to algebra 12 is 40% of what number? Solve for x 0.40  x 12 = Ask “what is being done to the variable?” The variable is being multiplied by 0.40 Do inverse on both sides of the equal sign 3/4

  12. Example 2-3a 12 is 40% of what number? Bring down 12 = 0.40  x 0.40  x 12 = Using the fraction bar, divide both sides by 0.40 x Combine “like” terms Use the Identity Property to multiply 1  x 30 = 1  x Answer: 30 = x 3/4

  13. Example 2-3b 36 is 90% of what number? Answer: 40 = x 3/4

  14. Example 2-4a TELEVISIONSIn the year 2000, 102.2 million homes in the United States had at least one television. Of these, 86% also had VCRs. How many homes had VCRs? Words 86% of 102,200,000 is what number? Variable Let x represent number of homes with VCRs 0.86  102,200,000 = x Equation 4/4

  15. Example 2-4a How many homes had VCRs? 0.86  102,200,000 = x Variable is already by itself 87,892,000 = x Multiply Add dimensional analysis Answer: 87,892,000 homes with VCRs 4/4

  16. Example 2-4b * COLLEGEA local college has an enrollment of 25,700 students. Of these students, 22% are from out of state. How many of the students are from out-of- state? Answer: 5,654 students from out-of-state 4/4

  17. End of Lesson 2 Assignment

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