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We are learning to…solve for the part, total or percent using an equation. Wednesday, May 24, 2017 Review With your group review how to solve for parts, totals and percents by using your proportional reasoning. When you’re done raise your hand and have your teacher check your solutions. Review % To write a percent as a fraction you always write: 100 A percent is always a comparison out of 100. To write a fraction as a decimal you divide the numerator by the denominator. To write the percent as a decimal you would divide the percent by 100. 68 For example: 68% as a fraction would be… 100 then to write 68% as a decimal: 68 100 0.68 Write the percents found in your notes as decimals. As you work look for short cuts when writing a percent as a decimal. Percents as a proportion: Using a proportion we know that: Percent Equations Parts Totals Part Total Percent 100 percent part = 100 total and we also know that the percent divided by 100 is the way to write the percent as a decimal percent as a decimal part total If I wanted to solve for the part then I would multiply both sides of the equation by the total… percent as a decimal total part total total percent as a decimal total part Here is an equation that we can use to solve for parts, totals and percents instead of using the proportion! Practice Question What number is 10% of 90? 15 is 30% of what number? What percent is 2 of 20? Define the variable Equation and Solution Process Solution x = part percent as decimal • total = part 0.1 • 90 = x 9 x = total percent as decimal • total = part 0.3 x = 15 50 0.3 x = percent 0.3 percent as decimal • total = part 20x = 2 20 20 0.1 = 10% Group Practice Try the rest of the practice problems with your group. Be sure to define the variable before you set up the equation!