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Solving Percent Problems Using Equations

Learn how to solve percent problems using equations with examples and step-by-step explanations. Practice various scenarios involving percentages and unknown numbers in this comprehensive course.

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Solving Percent Problems Using Equations

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  1. WordsA number is 32% of 40. Let n = the number. n = 0.32 • 40 Equation Simplify. n = 0.32 • 40 = 12.8 COURSE 2 LESSON 6-6 Solving Percent Problems Using Equations Use an equation to solve: 32% of 40 is what number? 6-6

  2. Words18% of a number is 81. Let n = the number. Equation 0.18 • n = 81 0.18n 81 0.18 0.18 Divide each side by 0.18. = Simplify. n = 450 COURSE 2 LESSON 6-6 Solving Percent Problems Using Equations Use an equation to solve: 18% of what number is 81? 6-6

  3. WordsA percent of 200 is 45. Let p = the percent. p • 200 = 45 Equation p • 200 = 45 Simplify. 200p = 45 200p 45 200 200 Divide each side by 200. = Use a calculator. p = 0.225 Write the decimal as a percent. p = 22.5% COURSE 2 LESSON 6-6 Solving Percent Problems Using Equations Use an equation to solve: What percent of 200 is 45? 6-6

  4. COURSE 2 LESSON 6-6 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 6-6

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