1 / 18

Percent Proportion Equation

Percent Proportion Equation. Solve practical problems using proportional reasoning. Percent: a number over 100. Express the p ercent as a fraction and as a decimal. Fraction. Decimal. 5. 13. 0. 6 5. %. 65. 65 %. %. =. 100. 5. 20.

seth-bright
Download Presentation

Percent Proportion Equation

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript


  1. Percent Proportion Equation Solve practical problems using proportional reasoning

  2. Percent: a number over 100 Express the percent as a fraction and as a decimal. Fraction Decimal 5 13 0 6 5 % . 65 65 % % = 100 5 20 Fractions needs to be written in simplest form, if it’s possible Move the decimal point two places to the left, then remove the symbol

  3. Percent: a number over 100 Express the percent as a fraction and as a decimal. Fraction Decimal 25 5 1 2 5 % . 125 % 125 % = 100 25 4 Fractions needs to be written in simplest form, if it’s possible Move the decimal point two places to the left, then remove the symbol

  4. Percent: a number over 100 Express the fraction as a percent. Fraction Percent x5 3 15 15 % = x5 20 100 100

  5. Percent: a number over 100 Express the decimal as a percent. Decimal Percent 0.125 0 1 2 5 % . Move the decimal point two places to the right, then add the % symbol

  6. Percent: a number over 100 Express the decimal as a percent. Decimal Percent 3.12 3 1 2 % . Move the decimal point two places to the right, then add the % symbol

  7. Percent proportion In a percent proportion equation, the numerator called the is , is being compared to the whole quantity called of . The other ratio is the percent written as a number, whose base is 100

  8. Percent proportion Many word problems can be solved using the formula “is over of equals percent over 100.” The number here is already a percent, just replace with the number The value of the is & of come from the problem The 100 stays the same in all problems

  9. Percent proportion 4 is 50% of 8 is 4 50 % = of 100 8 10 is 20% of 50 10 is 20 % = of 100 50

  10. Percent proportion What number is 5% of 40? Use cross product to solve the proportion x is x % 5 5 = = of 100 100 40 40 Solve the equation by doing the opposite Write a sentence as an answer 100 x = 5 40 100 x = 200 100 100 x = 2 5% of 40 is 2

  11. Percent proportion 72 is 6% of what number? Use cross product to solve the proportion 72 72 is % 6 6 = = of 100 100 x x Solve the equation by doing the opposite Write a sentence as an answer 6 x = 72 100 6 x = 7200 6 6 72 is 6% of 1,200 x = 1,200

  12. Percent proportion 8 is what percent of 40? Use cross product to solve the proportion 8 is 8 % x x = = of 100 100 40 40 Solve the equation by doing the opposite Write a sentence as an answer 40 x = 8 100 40 x = 800 40 40 x = 20 8 is 20% of 40

  13. You try! Practice Percent proportion What number is 45% of 180 50 is 20% of what number 50 is 20 % is x 45 = % = of 100 x of 100 180 20 x = 5000 20 x = 50 100 100 x = 45 180 100 x = 8100 20 20 100 100 x = 250 x = 81

  14. Practice Percent proportion What percent of 90 is 36? What percent of 185 is 35 36 is x % = 35 is x % = of 100 90 of 100 185 90 x = 3600 90 x = 36 100 185 x = 35 100 185 x = 3500 90 90 185 185 x = 40 x = 18.9

  15. Percent proportion Mateo answer 20 question out of 25 in his Math test. What percent of the test does he answer correctly? Use cross product to solve the proportion Write a sentence as an answer 20 20 is % x x = = of 100 100 25 25 Solve the equation by doing the opposite 25 x =20 100 He answered 80% of the test correctly. 25 x = 2000 25 25 x = 80

  16. Percent proportion There are 300 students in 7th grade, 30% are in Mr. Montoya’s class. How many students are in his class? Use cross product to solve the proportion Write a sentence as an answer x is x % 30 30 = = 300 of 100 100 300 Solve the equation by doing the opposite 100x =30 300 He has 90 students in his class. 100 x = 9000 100 100 x = 90

  17. Percent proportion A serving of ice cream contains 240 calories. 144 calories comes from fat. What percent of the total calories comes from fat ? Use cross product to solve the proportion Write a sentence as an answer is 144 144 % x x = = 240 of 100 100 240 Solve the equation by doing the opposite 240x =144 100 60% of the calories comes from fat. 240 x = 14400 240 240 x = 60

  18. Percent proportion Mrs. Finnegan has a large container of olive oil. She has used 2 quarts of oil, seventy-five percent of the olive oil remains. How many quarts of oil remains ? Use cross product to solve the proportion Write a sentence as an answer 2 is 2 % 25 25 = = x of 100 100 x Solve the equation by doing the opposite 25x =2 100 She has 8 more quarts of olive oil. 25 x = 200 25 25 x = 8

More Related