Percent Proportion Equation Solve practical problems using proportional reasoning

. Percent: a number over 100 Decimal 13 6 5 % 65 % 65 % = 100 20 Express the percent as a fraction and as a decimal. Fraction Decimal 5 13 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

. Percent: a number over 100 Decimal 5 1 2 5 % 125 125 % % = 100 4 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

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

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

Move the decimal point two places to the right, then add the % symbol 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

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

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

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

Write a sentence as an answer Percent proportion What number is 5% of 40? Use cross product to solve the proportion is x x % 5 5 = = 40 of 100 40 100 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

Write a sentence as an answer Percent proportion 72 is 6% of what number? Use cross product to solve the proportion 72 is 72 % 6 6 = = of x 100 x 100 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

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

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

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

Write a sentence as an answer He answered 80% of the test correctly. 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 is 20 % x x = = of 25 100 25 100 Solve the equation by doing the opposite 25 x =20 100 25 x = 2000 He answered 80% of the test correctly. 25 25 x = 80

Write a sentence as an answer He has 90 students in his class. 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 is x x % 30 30 = = 300 of 100 300 100 Solve the equation by doing the opposite 100x =30 300 100 x = 9000 He has 90 students in his class. 100 100 x = 90

Write a sentence as an answer 60% of the calories comes from fat. 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 144 is 144 % x x = = 240 of 100 240 100 Solve the equation by doing the opposite 240x =144 100 240 x = 14400 60% of the calories comes from fat. 240 240 x = 60

Write a sentence as an answer She has 8 more quarts of olive oil. 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 is 2 2 % 25 25 = = of x 100 x 100 Solve the equation by doing the opposite 25x =2 100 25 x = 200 She has 8 more quarts of olive oil. 25 25 x = 8