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Today’s Plan: -Warm Up -Percent -Assignment & Flashcard race

04/12/10 Percent Calculations #28. Entry Task. Find the percent of each number. 1. 25% of 8 2. 40% of 110 3. 150% of 96 4. 0.3% of 120. 2. 44. 144. 0.36. Today’s Plan: -Warm Up -Percent -Assignment & Flashcard race.

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Today’s Plan: -Warm Up -Percent -Assignment & Flashcard race

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  1. 04/12/10 Percent Calculations #28 Entry Task Find the percent of each number. 1. 25% of 8 2. 40% of 110 3. 150% of 96 4. 0.3% of 120 2 44 144 0.36 Today’s Plan: -Warm Up -Percent -Assignment & Flashcard race LT: I will use a proportion to solve percent problems.

  2. 6-4 Solving Equations Containing Percents Course 2 Sloths may seem lazy, but their extremely slow movement helps to make them almost invisible to predators. Sloths sleep an average of 16.5 hours a day. To find out what percent of a 24-hour day 16.5 hours is, you can use a proportion or an equation.

  3. 6-4 Solving Equations Containing Percents Course 2 % is = 100 of 16.5 is what percent of 24 hours? is x 16.5 Percent = 100 24 of Sloths spend 68.75% of the day sleeping!

  4. 6-4 Solving Equations Containing Percents Course 2 % is = 100 of white boards…

  5. 6-4 Solving Equations Containing Percents Course 2 % is = 100 of A. 25 is what percent of 40? x 25 = 40 100 62.5% 25 is 62.5% of 40.

  6. 6-4 Solving Equations Containing Percents Course 2 % is = 100 of B. 15 is 25% of what number? 25 15 Write a proportion. = x 100 x = 60 15 is 25% of 60.

  7. 6-4 Solving Equations Containing Percents Course 2 Try This: Example 1A Solve. A. 10 is what percent of 50? n 100 10 50 = Write a proportion. n = 20 10 is 20% of 50.

  8. 6-4 Solving Equations Containing Percents Course 2 Try This: Example 1B Solve. B. 8 is 40% of what number? 40 100 8 n = Write a proportion. n = 20 8 is 40% of 20.

  9. 04/12/10 Percent Calculations #28 Assignment Pg 318 #1-21 and 23 For each problem show the proportion and your answer. % is = 100 of Today’s Plan: -Warm Up -Percent -Assignment & Flashcard race LT: I will use a proportion to solve percent problems.

  10. 6-4 Solving Equations Containing Percents Course 2 Proportion Method Equation Method n Part Part 16.5 = What percent of 24 is 16.5? Whole 24 Whole 100 n · 24 = 100 · 16.5 n · 24 = 16.5 24n = 1,650 n = 0.6875 n = 68.75 68.75% n = 68.75%

  11. 6-4 Solving Equations Containing Percents Course 2 Additional Example 2A: Using Equations to Solve Problems with Percents Solve. A. 35 is 28% of what number? 35 = 28% · n Write an equation. 35 = 0.28 · n Write 28% as a decimal. 35 0.28 0.28 · n 0.28 Divide each side by 0.28 to isolate the variable. = 125 = n 35 is 28% of 125.

  12. 6-4 Solving Equations Containing Percents Course 2 Additional Example 2B: Using Equations to Solve Problems with Percents Solve. B. 18 is what percent of 9? 18 = n · 9 Write an equation. 18 9 n · 9 9 Divide each side by 9 to isolate the variable. = 2 = n Write the decimal as a percent. 200% = n 18 is 200% of 9.

  13. 6-4 Solving Equations Containing Percents 36 0.24 0.24 · n 0.24 = Course 2 Try This: Example 2A Solve. A. 36 is 24% of what number? 36 = 24% · n Write an equation. 36 = 0.24 · n Write 24% as a decimal. Divide each side by 0.24 to isolate the variable. 150 = n 36 is 24% of 150.

  14. 6-4 Solving Equations Containing Percents Course 2 Try This: Example 2B Solve. B. 36 is what percent of 6? 36 = n · 6 Write an equation. 36 6 n · 6 6 Divide each side by 6 to isolate the variable. = 6 = n Write the decimal as a percent. 600% = n 36 is 600% of 6.

  15. 6-4 Solving Equations Containing Percents Course 2 Additional Example 3: Social Studies Application Workers in Canada earn 10 vacation days, and workers in Finland earn 30 vacation days. What percent of the vacation days that workers in Canada earn do workers in Finland earn? Restate the question: What percent of 10 is 30? n · 10 = 30 Write an equation. n · 10 10 30 10 Divide each side by 10 to isolate the variable. = n = 3.0 n = 300 Write the decimal as a percent. Workers in Finland earn 300% of the number of vacation days that workers in Canada earn.

  16. 6-4 Solving Equations Containing Percents Course 2 Try This: Example 3 Workers in Canada earn 10 vacation days, and workers in Britain earn 20 vacation days. What percent of the vacation days that workers in Canada earn do workers in Britain earn? Restate the question: What percent of 10 is 20? n · 10 = 20 Write an equation. n · 10 10 20 10 Divide each side by 10 to isolate the variable. = n = 2.0 Write the decimal as a percent. n = 200 Workers in Britain earn 200% of the number of vacation days that workers in Canada earn.

  17. 6-4 Solving Equations Containing Percents Course 2 Insert Lesson Title Here Lesson Quiz 1. 21 is 42% of what number? 2. 73 is what percent of 292? 3. 112% of what number is 84? 4. 13.4 is what percent of 1340? 5. An ad shows a DVD player on sale for 75% of its original price. If its original price was $242, what is the sale price? 50 25% 75 1% $181.50

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