Essential Question How do you solve percent problems Before we start The sum of China and Japans total Olympic medals from 2004 is 100 What percent of their medals were gold Silver Bronze ID: 776314
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Slide1
Lesson 3.7Solve Percent Problems
Essential Question: How do you solve percent problems?
Slide2Before we start…
The sum of China and Japan’s total Olympic medals from 2004 is 100. What percent of their medals were gold? Silver? Bronze?
Country
China
Japan
Gold
32
16
Silver
17
9
Bronze
14
12
Slide3What is a percent?
“divided by 100”
Slide4How do you solve percent problems?
Write the percent as a fraction.Set up a proportion.Solve.
What should the proportion look like?
Slide5Part of the number
The entire number
The percent
Slide6Percent Problems
QuestionMethodProportiona is what percent of b?Solve for p.What number is p% of b?Solve for a.a is p% of what number?Solve for b.
Question
Method
Proportion
a
is what percent of
b
?
Solve
for
p
.
What number is
p
% of
b
?
Solve for
a
.
a
is
p
% of what number?
Solve for
b
.
Slide7What percent of 25 is 17?
Slide8What number is 30% of 90?
Slide914 is 48% of what number?
Slide10What percent of 20 is 15?
Slide11What number is 35% of 80?
Slide1235 is 24% of what number?
Slide13What percent of 120 is 66?
Slide14What number is 60% of 85?
Slide15What is the percent equation?
Part of the base
Percent
Base
Slide16How do you solve a problem using the percent equation?
Write the percent equation.
Substitute the parts you know.
Solve for the unknown variable.
Slide17What percent of 136 is 51?
Slide18What number is 15% of 88?
Slide1920 is 12.5% of what number?
Slide20What percent of 56 is 49?
Slide21What number is 140% of 50?
Slide2265 is 62.5% of what number?
Slide23What percent of 80 is 56?
What number is 115% of 60?
Slide24Survey A survey asked 220 students to name their favorite pasta dish. Find the percent of students who chose the given pasta.Macaroni and cheeseLasagna
Pasta TypeStudentsSpaghetti83Lasagna40Macaroni and Cheese33Fettucine alfredo22Baked ziti16Pasta primavera15Other 11
Slide25Beaches In a survey of 2000 people, 26.7% said that they visited a beach during the past year. How many people said they visited a beach during the past year?
Slide26Ice Cream A survey found that 88, or 22%, of adults preferred vanilla ice cream. How many adults were sampled?
Slide27Student Council Marc received 273, or 35%, of the votes in the student council election. How many students voted in the election?
Slide28Environment A service club is planting seedlings as part of an erosion prevention project. Out of 240 newly planted seedlings, 15 are laurel sumac. What percent of the seedlings are laurel sumac?
Slide29School Newspaper Your school newspaper’s budget this year is 160% of last year’s budget, which was $2125. What is this year’s budget?
Slide30Marathon Of the 23,513 people who entered the Honolulu Marathon one year, 19,236 finished. What percent of the runners finished? Round your answer to the nearest tenth of a percent.
Slide31Water A child’s body weight is approximately 75% water. About how many pounds of a 60 pound child’s weight is water?
Slide32Number Sense
One day, 32 of 80 people wore a red shirt to school. What percent of the 80 people did not wear a red shirt to school?
Slide33How do you solve percent problems?
Slide34Ticket Out the Door
What number is 18% of 150?