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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.

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Percent Proportion Equation

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  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. 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

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