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Solving Equations Containing Percents

Learn how to solve equations containing percents using the proportion method. Find the part of a whole, calculate percentages, and solve percent problems with step-by-step instructions.

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Solving Equations Containing Percents

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  1. Solving Equations Containing Percents

  2. Percent Proportion Method • Part = % Whole 100 Example: What is 25% of 20? x = 25 You are trying to 20 100 find a “part” of 20

  3. Proportion Method • Example: What is 18% of 56? • Part = % Whole 100% x = 18% You are trying to 56 100% find a “part” of 56

  4. Proportion Method • Example: 45 is what percent of 90? • Part = % Whole 100% 45 = x% You are trying to 90 100% find a percent

  5. Proportion Method • 12 is 8% of what number? • Part = % Whole 100% 12 = 8% You are trying to x 100% find the “whole” number

  6. Proportion Method • What is 10% of 40?

  7. Proportion Method • What is 30% of 62?

  8. Proportion Method • 48 is 20% of what number?

  9. THE PERCENT EQUATION NS 1.4 Calculate given percentages of quantities and solve problems involving discounts at sales, interest earned, and tips. Objective-Students will calculate percentages using equations to solve percent problems by following steps, and scoring 80% on an exit slip.

  10. Equation Method • When do you have to change a decimal into a percent??? • When you are finding a percent • When do you need to change a percent into a decimal? • EVERYTIME you have a percent in an equation you MUST change it into a decimal!

  11. Equation Method EX 1 • Whatis 30% of 80? n = 30% • 80 n = 0.30 • 80 REMEMBER to change into a decimal! n = 24

  12. Equation Method EXAMPLE: 2 • 105 iswhatpercentof 75? 105 =n• 75 105 = n•75 105 = 75n 75 75 1.4 = 140% = n REMEMBER to change into a percent!

  13. Equation Method EXAMPLE 3 • 6 is 10% of whatnumber? 6 = 10% •n 6 = 0.10 • n REMEMBER to change 6 = 0.10n0.10 0.10 60 = n

  14. YOU DO… • What percent of 80 is 10? n • 80 = 10 n • 80 = 10 80n = 10 80 80 n = 0.125 = 12.5% REMEMBER to change into a percent!

  15. EXIT SLIP!Solving Percent Problems Using Equations Write and solve an equation. 1. 6% of 38 is what number? 2. 40% of what number is 24? 3. What percent of 52 is 13? 4. 96% of what number is 240?

  16. EXIT SLIP!Solving Percent Problems Using Equations Write and solve an equation. 1. 6% of 38 is what number? 2. 40% of what number is 24? 3. What percent of 52 is 13? 4. 96% of what number is 240? n = 6% • 38; 2.28 24 = 40% • n; 60 13 = n% • 52; 25% 240 = 96% • n; 250

  17. Equation Method • When do you have to change a decimal into a percent??? • When you are finding a percent • When do you need to change a percent into a decimal? • EVERYTIME you have a percent in an equation you MUST change it into a decimal!

  18. Equation Method • 18 is what percent of 6?

  19. Equation Method • 4 is what percent of 5?

  20. Equation Method • 9 is 30% of what number?

  21. Equation Method • What is 155% of 50?

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