chapter 6 lesson 5 using the percent proportion pgs. 288-292 what you will learn: use the percent...

Chapter 6 Lesson 5Using the Percent

Proportionpgs. 288-292

Chapter 6 Lesson 5Using the Percent

Proportionpgs. 288-292

What you will learn:Use the percent proportion to

solve problems

What you will learn:Use the percent proportion to

solve problems

VocabularyVocabularyPart (288): numeratorBase (288): denominatorPercent Proportion (288): comparing

a percent, written as a fraction , whose base is 100 to a proportion

part <----- 3 = 75 -------> partbase <----- 4 100 ------> base

Part (288): numeratorBase (288): denominatorPercent Proportion (288): comparing

a percent, written as a fraction , whose base is 100 to a proportion

part <----- 3 = 75 -------> partbase <----- 4 100 ------> base

Key Concept (288)Percent ProportionKey Concept (288)Percent Proportion

• Words: part = percent base 100

Symbols: a = p , where a is the part,

b 100 b is the base and p

is the percent.

• Words: part = percent base 100

Symbols: a = p , where a is the part,

b 100 b is the base and p

is the percent.

Example 1: Find the Percent


Seventy-two is what percent of 160?Seventy-two is being compared to 160.So, 72 is the part and 160 is the base. Let p represent the

percent.

a = P ----> 72 = P b 100 160 100Find the cross products: 72100 = 160P Simplify: 7200=160P

Divide: 7200 = 160P 160 160

Solve: 45 = P So, 72 is 45% of 160

Seventy-two is what percent of 160?Seventy-two is being compared to 160.So, 72 is the part and 160 is the base. Let p represent the

percent.

a = P ----> 72 = P b 100 160 100Find the cross products: 72100 = 160P Simplify: 7200=160P

Divide: 7200 = 160P 160 160

Solve: 45 = P So, 72 is 45% of 160



• What percent of 5 is 8?Eight is being compared to 5. So 8 is the part

and 5 is the base. Let P represent the percent.

a = P ----> 8 = P b 100 5 100Cross Products: 8100 =5P Simplify: 800=5P Divide: 800 = 5P 5 5 Solve: 160 = P So, 160% of 5 is 8

• What percent of 5 is 8?Eight is being compared to 5. So 8 is the part

and 5 is the base. Let P represent the percent.

a = P ----> 8 = P b 100 5 100Cross Products: 8100 =5P Simplify: 800=5P Divide: 800 = 5P 5 5 Solve: 160 = P So, 160% of 5 is 8

Example 3: Apply the Percent Proportion


• If 12 of the 75 animals in a pet store are parakeets, what percent are parakeets?

a = P = 12 = P b 100 75 100Cross Products: 12100 = 75P

Simplify: 1200 = 75P Divide: 1200 = 75P

75 75Solve: 16 = P So, 16% of the animals

areParakeets

• If 12 of the 75 animals in a pet store are parakeets, what percent are parakeets?

a = P = 12 = P b 100 75 100Cross Products: 12100 = 75P

Simplify: 1200 = 75P Divide: 1200 = 75P

75 75Solve: 16 = P So, 16% of the animals

areParakeets

Concept Summary (289)

Types of Percent Problems

Concept Summary (289)

Types of Percent Problems

Type Example Proportion

Find the % 3 is what percent of 4?

3 = P 4 100

Find the part What number is 75% of 4?

a = 75 4 100

Find the base 3 is 75% of what number

3 = 75 b 100

Example 4: Find the PartExample 4: Find the Part

• What number is 3.5% of 750? The percent is 3.5 and the base is 750. Let a represent the

part. a = P ------> a = 3.5 b 100 750 100

Cross Products: a100 = 7503.5Simplify: 100a = 2625 Divide: 100a = 2625

100 100

Solve: a = 26.25 So, 3.5% of 750 is 26.25

• What number is 3.5% of 750? The percent is 3.5 and the base is 750. Let a represent the

part. a = P ------> a = 3.5 b 100 750 100

Cross Products: a100 = 7503.5Simplify: 100a = 2625 Divide: 100a = 2625

100 100

Solve: a = 26.25 So, 3.5% of 750 is 26.25



• Of the fish in an aquarium, 26% are angelfish. If the aquarium contains 50 fish, how many are angelfish?

• To find 26% of 50, let b represent the base, 50, and let p represent the percent 26% in the percent proportion. Let a represent the part. a = P ---> a = 26 b 100 50 100

a100 = 5026 100a = 1300

a = 13So, 13 fish are angelfish

• Of the fish in an aquarium, 26% are angelfish. If the aquarium contains 50 fish, how many are angelfish?

• To find 26% of 50, let b represent the base, 50, and let p represent the percent 26% in the percent proportion. Let a represent the part. a = P ---> a = 26 b 100 50 100

a100 = 5026 100a = 1300

a = 13So, 13 fish are angelfish

Example 6: Find the Base

Example 6: Find the Base

• 27 is 90% of what number? The percent is 90% and the part is 27. Let b

represent the base. a = P ----> 27 = 90 b 100 b 100 Cross Products: 27100 = b90

Simplify: 2700 = 90bDivide: 2700 = 90b

90 90 Solve: 30= b

So, 27 is 90% of 30

• 27 is 90% of what number? The percent is 90% and the part is 27. Let b

represent the base. a = P ----> 27 = 90 b 100 b 100 Cross Products: 27100 = b90

Simplify: 2700 = 90bDivide: 2700 = 90b

90 90 Solve: 30= b

So, 27 is 90% of 30

Your Turn! Use the percent proportion to solve each problem,

round to the nearest tenth.

Your Turn! Use the percent proportion to solve each problem,

round to the nearest tenth.

17 is what percent of 85?

36 is 72% of what number?

What is 84% of 150?

What is 0.3% of 750?

17 is what percent of 85?

36 is 72% of what number?

What is 84% of 150?

What is 0.3% of 750?

17 = P 85 100 P = 20 20%

36 = 72 b 100 b = 50

a = 84 150 100 a = 126

a = 0.3 750 100 a = 2.25

Make sure you carefullyRead & understand what The question is asking!

Extra Practice by the door!Quiz Tomorrow! (6-4 & 6-5)

chapter 6 lesson 5 using the percent proportion pgs. 288-292 what you will learn: use the percent...

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