Chapter 7 Proportional Reasoning

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Presentation transcript:

Chapter 7 Proportional Reasoning Section 7.3 Solving Percent Problems

Introduction David had a test score of 85 on a test worth 100 points. What fraction would represent his score? Decimal? Percentage?

Percent A percent is a ratio with a denominator of 100. Percent literally means “per hundred”. Percentages are a common base of comparison because they can compare sets of different sizes. Common percentages: 1% 10% 25% 50% 100% 33 1/3 % 66 2/3 %

Converting Fractions, Decimals, and Percents Percent to Decimal Decimal to Percent Percent to Fraction Fraction to Percent

Finding the Percent of a Number Examples: 1.) 50% of 28 2.) 25% of 4000 3.) A $25 shirt is selling at a 10% discount. Find the amount of discount and sale price. 4.) A car manufacturer claimed that less than 0.1% of seat belts fail in frontal accidents. If there were 100,000 frontal accidents, what would be the maximum number of seat belts that could be expected to fail? 5.) Estimate 2% of 527

Finding a Number when a Percent of it is Known Examples: 1.) The discount on a dress advertised as “1/3 off” is $55. What was the original price? 2.) George gave a $15 tip that amounted to 18% of his total restaurant bill. How much was the bill?

Find the Percent that one Number is of Another Examples: 1.) In a survey of 1500 people who owned the same make of car, 900 indicated that they would buy the same make of car again. What percent of these people were satisfied with their car? 2.)Kathy and Tommy are buying a house that is listed for $127,500 and are paying $25,500 down. Find the percent of the downpayment.

Finding the Percent of Increase or Decrease Determine the amount of increase or decrease Divide this amount by the original amount Convert this fraction or decimal to a percent new – old old

Examples 1.) Attendance for a major league baseball team averaged 29, 500 for games in 1994 and 22,000 in 1995. What was the percent decrease in attendance from 1994 to 1995 (to the nearest tenth of a percent)? 2.) The number of student at a university increased from 6000 student in 1960 to 18,000 in 1968. What was the percent increase in enrollment during this period?