Percents and Their Applications Chapter 6 Percents and Their Applications McGraw-Hill/Irwin Copyright © 2003 by The McGraw-Hill Companies, Inc. All rights reserved.

Percent and Their Applications #6 Percent and Their Applications Learning Unit Objectives LU6.1 Conversions Convert decimals to percents, percents to decimals, fractions to percents and rounding percents to the identified digit Convert percents to fractions

Percent and Their Applications #6 Percent and Their Applications Learning Unit Objectives LU6.2 Application of Percents -- Portion Formula List and define the key elements of the portion formula Solve for one unknown of the portion formula when the other two key elements are given Calculate the rate of percent decreases and increases

Table 6.1 - Bag of M&M’s Decimal Percent Color Fraction (hundredth) (hundredth) Yellow 18 .33 32.73% 55 Red 10 .18 18.18% Blue 9 .16 16.36% Orange 7 .13 12.73% Brown 6 .11 10.91% Green 5 .09 9.09% Total 55 1.00 100.00% 55 = 1

Converting Decimals to Percents & Percents to Decimals Move decimal point 2 places to the right, add zeros if necessary .75 75% 5 500% .35 2.5 35% 250%

Rounding Percents .384615 13 5.000000 = 5 13 38.4615% 38.46%

Converting Percents to Decimals Drop the percent symbol and move the decimal point 2 places to the left. .8 .00.8 .8% .008

Converting Fraction Percents to Decimals .50% 2 1.00 = 1 % 2 .00.50 .0050

Converting Fractions to Percents .10 10 1.00 = 1 10 .10. 10%

Converting a Whole Percent to a Fraction 76 x 1 100 76% 76 100 Reduce to lowest terms 19 25

Converting a Mixed or Decimal Percent to a Fraction 1 2 32 65 x 1 = 65 2 100 200 32.5% Reduce to lowest terms 13 100

Application of Percents - Portion Formula Portion (P) = Base (B) x Rate (R) Portion “is” Base “of” Rate “%”

Solving for Portion Sales of McDonalds drive-thru customers are 60% of total sales. Total sales are $1,600,000. What are the drive-thru sales? Portion = Base x Rate P = $1,600,000 x .60 P = $960,000

Solving for Rate Sales of McDonalds drive-thru customers are $960,000. Total sales are $1,600,000. What Percent of customers eat in the restaurant? Rate = Portion Base R = $640, 000 $1,600,000 R = 40% $1,600,000 - 960,000

Solving for Base Sales of McDonalds drive-thru customers are 60% of total sales. Sales of eat-in customers are $640,000. What are total sales? Base = Portion Rate B = $640,000 .40 B = $1,600,000 eat in sales Percent of customers that eat-in

Rate of Percent Decrease 15 oz. Rate = Portion Base Rate = 12 15 Amount of Decrease (P) Original Weight (B) .80 or 80% Decrease 3 oz. Original New Percent of Decrease (R)

Rate of Percent Increase $1,000 Rate = Portion Base Rate = $1,500 Original sales (B) 1.5 or 150% Increase $2,500 Original New Amount of Increase (P) Percent of Increase (R)