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Percents

Percents. SWBAT: Solve problems involving percents. SWBAT: Solve problems involving percents. 0.3. Warm Up Change each percent to a decimal. 1. 73% 2. 112% 3. 0.6% 4. 1% Change each fraction or mixed number to a decimal. 5. 6. 7. 8. Solve each proportion. 9. 10. 0.73.

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Percents

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  1. Percents SWBAT: Solve problems involving percents

  2. SWBAT: Solve problems involving percents 0.3 Warm Up Change each percent to a decimal. 1. 73% 2. 112% 3. 0.6% 4. 1% Change each fraction or mixed number to a decimal. 5. 6. 7. 8. Solve each proportion. 9. 10. 0.73 1.12 0.006 0.01 0.5 0.8 1.2 12 4.2

  3. Vocabulary Percent Part whole

  4. SWBAT: Solve problems involving percents 25 1 25% = = 4 100 25 25% = = 0.25 100 A percent is a ratio that compares a number to 100. For example, To find the fraction equivalent of a percent write the percent as a ratio with a denominator of 100. Then simplify. To find the decimal equivalent of a percent, divide by 100.

  5. SWBAT: Solve problems involving percents 10% 25% 20% 40% 50% 75% Percent 100% 60% 80% Fraction Decimal Some Common Equivalents

  6. SWBAT: Solve problems involving percents  Check 30% is the same as , and of 80 is 24. Find 30% of 80. Use the percent proportion. Let x represent the part. 100x = 2400 Find the cross products. Since x is multiplied by 100, divide both sides by 100 to undo the multiplication. x = 24 30% of 80 is 24.

  7. SWBAT: Solve problems involving percents  Check 20% is the same as , and of 60 is 12. Find 20% of 60. Let x represent the part. Find the cross products. 100x = 1200 Since x is multiplied by 100, divide both sides by 100 to undo the multiplication. x = 12 20% of 60 is 12.

  8. SWBAT: Solve problems involving percents What percent of 45 is 35? Round your answer to the nearest tenth. Use the percent proportion. Let x represent the percent. 45x = 3500 Find the cross products. Since x is multiplied by 45, divide both sides by 45 to undo the multiplication. x ≈ 77.8 35 is about 77.8% of 45.

  9. SWBAT: Solve problems involving percents What percent of 35 is 7?. Use the percent proportion. Let x represent the percent. 35x = 700 Find the cross products. Since x is multiplied by 35, divide both sides by 35 to undo the multiplication. x = 20 7 is 20% of 35.

  10. SWBAT: Solve problems involving percents 230 is what percent of 200? Write an equation. Let x represent the percent. 230 = x • 200 230 = 200x Since x is multiplied by 200, divide both sides by 200 to undo the multiplication. 1.15 = x The answer is a decimal. 115% = x Write the decimal as a percent. This answer is reasonable; 230 is more than 100% of 200. 230 is 115% of 200.

  11. SWBAT: Solve problems involving percents 27 is what percent of 9? Write an equation. Let x represent the percent. 27 = x • 9 27 = 9x Since x is multiplied by 9, divide both sides by 9 to undo the multiplication. The answer is a whole number. 3 = x 300% = x Write the whole number as a percent. This answer is reasonable; 27 is more than100% of 9. 27 is 300% of 9.

  12. SWBAT: Solve problems involving percents 38% of what number is 85? Round your answer to the nearest tenth. Use the percent proportion. Let x represent the whole. 38x = 8500 Find the cross products. Since x is multiplied by 38, divide both sides by 38 to undo the multiplication. x = 223.7 38% of about 223.7 is 85.

  13. SWBAT: Solve problems involving percents 120% of what number is 90? Use the percent proportion. Let x represent the whole. 120x = 9000 Find the cross products. Since x is multiplied by 120, divide both sides by 120 to undo the multiplication. x = 75 120% of 75 is 90.

  14. SWBAT: Solve problems involving percents The serving size of a popular orange drink is 12 oz. The drink is advertised as containing 5% orange juice. How many ounces of orange juice are in one serving size? Use the percent proportion. Let x represent the percent. 100x = 60 Since x is multiplied by 100, divide both sides by 100 to undo the multiplication. x = 0.6 A 12 oz orange drink contains 0.6 oz of orange juice.

  15. SWBAT: Solve problems involving percents

  16. Lesson Quiz: Part 1 Find each value. Round to the nearest tenth if necessary. 1. Find 20% of 80. 2. What percent of 160 is 20? 3. 35% of what number is 40? 4. 120 is what percent of 80? 5. Find 320% of 8. 6. 65 is 0.5% of what number? 16 12.5% 114.3 150% 25.6 13,000

  17. Lesson Quiz: Part 2 Find each value. Round to the nearest tenth if necessary. 7. A survey at a local school showed that 38% of the students chose chocolate ice cream as their favorite ice cream. Eight hundred students took the survey. How many chose chocolate ice cream? 304

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