1. APPLICATIONS OF PERCENT Chapter 6

2. Fractions, Decimals, & Percents A percent is a ratio that compares a number to 100 To change a decimal to a percent, multiply by 100 or move the decimal two places to the right To change a percent to a decimal, divide by 100 or move the decimal two places to the left To write a percent as a fraction, put it over 100 then simplify To order from least to greatest, they must all look the same!

3. Example(s) Write each fraction as a percent. 1.)2.)3.) Write each decimal as a percent. 4.)5.)6.) Write each percent as a fraction. 7.)8.)9.)

4. Percents & Proportions is = % of 100 Finding the Part Finding the Whole Finding the Percent What number is 20% of 25? 5 is 20% of what number ? 5 is what percent of 25? n = 205 = 205 = p 25 100w 10025 100

5. Percents & Equations = means is “of” means to multiply Finding the Part Finding the WholeFinding the Percent Part = p · whole Part = p · wholePart = p · whole What is 20% of 25? 5 is 20% of what? 5 is what percent of 25? n = 0.20 · 25 5 = 0.20 · w5 = p · 25

6. Percent of Change The percent a quantity increases or decreases from its original amount is the percent of change Percent of change = amount of change original amount

7. Example(s): 1.) The average price of a movie ticket in the United States in 1990 was $4.22. Ten years later, the average price was $5.39 In that ten-year period, average movie ticket prices increased by $1.17. Find the percent of change. P = amount of change P = 1.17 = 0.28 = 28% original amount 4.22 *Movie tickets prices increased about 28% from 1990 to 2000.

8. Example(s): Find the percent of increase. 1.) 75 to 1102.) 50 to 90 Find the percent of decrease. 3.) 190 to 1834.) 368 to 275

9. Markup and Discount markup is the amount of increase in price markup is added to the store’s cost of the item to arrive at the selling price Percent of change = amount of change original amount ↓ ↓ Percent of markup = markup STORE’S COST

10. Example(s): 1.) Find the percent of markup on a sweater that costs a store $25 and has a selling price of $45. markup = selling price – store’s cost = $45 – $25 = $20 Percent of markup = 20 = 0.8= 80% 25

11. Example(s): 1.) Find the percent of markup. Store’s cost: $26 Selling price: $39

12. Finding percent of Discount The amount by which the price of an item on sale is reduced is called the discount The regular price of an item minus the discount equals the sale price of the item Percent of change = amount of change original amount ↓ ↓ Percent of discount = discount regular price