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 What is 30% of 80? n = 30% 80 n = 0.30 80 REMEMBER to change into a decimal! n = 24 EX 1

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

13. Equation Method 6 is 10% of what number? 6 = 10% n 6 = 0.10 n REMEMBER to change 6 = 0.10n 0.10 0.10 60 = n EXAMPLE 3

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

15. 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? EXIT SLIP! Solving Percent Problems Using Equations

16. 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 EXIT SLIP! Solving Percent Problems Using Equations

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?