chapter 6 lesson 5 using the percent proportion pgs. 288-292 what you will learn: use the percent...
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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
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
Example 2: Find the Percent
Example 2: Find the Percent
• 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
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
Example 5: Apply the Percent Proportion
Example 5: Apply the Percent Proportion
• 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)
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