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Solving Percent ProblemsSolving Percent Problems
Review Rates, Ratios, and ProportionsReview Rates, Ratios, and ProportionsObjectives: Find Percents.Objectives: Find Percents.
Find the base or part of the base.Find the base or part of the base.
Rate and Ratio ReviewRate and Ratio Review
RatiosRatios
1) 5 inches to 2 feet
2) 5 : 20 people
RatesRates
1) 6 gallons for $6.75
2) Sold 120 rings in 8 h
34
50)km
m
Proportion ReviewProportion Review
13
4
12)b
Percent ProblemsPercent Problems• Use proportions to solve most percent problems.
a
b
p
parto fbase
Base
Percen t
100
100
Percent Problems: Part of the Percent Problems: Part of the BaseBase
• What is 16% of 50?What is 16% of 50?
• You could change the percent to a decimal and multiply.
• You could set up a proportion:
a
50
16
100
a
b
p
parto fbase
Base
Percen t
100
100
Percent Problems: Part of the Percent Problems: Part of the basebase
1) What is 24% of 50?1) What is 24% of 50?a
b
p
parto fbase
Base
Percen t
100
100
Percent Problems: BasePercent Problems: Base
• Finding the BaseFinding the Base
• Do the same thing, but solve for b.
• 90 is 75% of what 90 is 75% of what number?number?
a
b
p
parto fbase
Base
Percen t
100
100
Percent Problems: BasePercent Problems: Base
2) 66 is 120% of what number?2) 66 is 120% of what number?a
b
p
parto fbase
Base
Percen t
100
100
Percent Problems: PercentPercent Problems: Percent
• What if you don’t know the percent?
• Well, you can use the same proportion, but solve for the percent.
• 17 is what percent 17 is what percent of 20?of 20?
Percent Problems: PercentPercent Problems: Percent
• Find the percent.
1)1) 21 is what percent of 21 is what percent of 30?30?
2)2) On a 50 point quiz, On a 50 point quiz, you received 48 you received 48 points. What percent points. What percent did you receive?did you receive?
3) On a 40 point quiz, you 3) On a 40 point quiz, you received 38 points plus received 38 points plus 6 bonus points. What is 6 bonus points. What is the percent?the percent?