1. Copyright © 2012, 2009, 2005, 2002 Pearson Education, Inc. Chapter 5 Percent

2. Copyright © 2012, 2009, 2005, 2002 Pearson Education, Inc. Solving Percent Problems Using Equations 5.3A

3. Copyright © 2012, 2009, 2005, 2002 Pearson Education, Inc. Percent Problems into Equations To solve a percent problem, we express it as an equation with an unknown quantity. WordMathematical Symbol of Multiplication symbol:  or ( ) or · is= whatAny letter, for example, n findn = The following table is helpful when translating from a percent problem to an equation.

4. Copyright © 2012, 2009, 2005, 2002 Pearson Education, Inc. Percent Problems into Equations Example: Translate into an equation. What is 9% of 65? n=9%  65 Example: Translate into an equation. 24 is what percent of 144? 24=n  144

5. Copyright © 2012, 2009, 2005, 2002 Pearson Education, Inc. Solving a Percent Problem A percent problem has three different parts. 1. When we do not know the amount: n = 10%  500 Any one of the three quantities may be unknown. amount = percent  base 2. When we do not know the base: 50 = 10%  n 3. When we do not know the percent: 50 = n  500

6. Copyright © 2012, 2009, 2005, 2002 Pearson Education, Inc. Solving a Percent Problem: Amount Unknown amount = percent  base Example: What is 9% of 65? n=9%  65 n=(0.09)(65) n=5.85 5.85 is 9% of 65.

7. Copyright © 2012, 2009, 2005, 2002 Pearson Education, Inc. Solving a Percent Problem: Base Unknown amount = percent  base Example: 36 is 6% of what? n =6%  36 36 = 0.06n 36 is 6% of 600.

8. Copyright © 2012, 2009, 2005, 2002 Pearson Education, Inc. Solving a Percent Problem: Percent Unknown amount = percent  base n =144  24 Example: 24 is what percent of 144?