Percent and Applications

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Chapter 6 :

Chapter 6 Percents and Their Applications

Percent and Their Applications :

Convert decimals to percents (including rounding percents), percents to decimals, and fractions to percents Convert percents to fractions Percent and Their Applications #6 Learning Unit Objectives Conversions LU6.1

Percent and Their Applications :

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 Percent and Their Applications #6 Learning Unit Objectives Application of Percents -- Portion Formula LU6.2

Table 6.1 - Bag of M&M’s :

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% 55 Blue 9 .16 16.36% 55 Orange 7 .13 12.73% 55 Brown 6 .11 10.91% 55 Green 5 .09 9.09% 55 Total 55 1.00 100.00% 55 = 1

Converting Decimals to Percents :

Converting Decimals to Percents .75 75% 5 500% Move decimal point 2 places to the right, add zeros if necessary. Add a percent symbol at the end of the number

Rounding Percents :

Rounding Percents 5 13 .384615 38.46% 38.4615% 13 5.000000 = Step 1 Step 2 Step 3

Converting Percents to Decimals :

Converting Percents to Decimals 35% .35 2.5 250% Drop the percent symbol. Move decimal point 2 places to the left, add zeros if necessary

Converting Percents to Decimals :

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

Converting Fractional Percents to Decimals :

Converting Fractional Percents to Decimals 1 % 2 .50% .00.50 .0050 2 1.00 = Step 1 Step 2 Step 3

Converting Fractions to Percents :

Converting Fractions to Percents 1 10 .10 .10. 10% 10 1.00 = Step 1 Step 2 Step 3

Converting a Whole Percent to a Fraction :

Converting a Whole Percent to a Fraction 76% 76 x 1 100 76 100 19 25 Reduce to lowest terms Step 1 Step 2 Step 3

Converting a Mixed or Decimal Percent to a Fraction :

Converting a Mixed or Decimal Percent to a Fraction 32.5% 65 x 1 = 65 2 100 200 1 2 13 100 Reduce to lowest terms 32 Step 1 Step 2 Step 3

Application of Percents - Portion Formula :

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

Solving for Portion :

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 :

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 :

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 (1.00 - .60)

Rate of Percent Decrease :

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 :

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