1. Finding the Part When Given the Whole Amount and the Percent
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2. Warm Up Solve the following problems by modeling with a tape diagram.
1). 20 out of 100 people like hot peppers. What percent of the people like hot peppers?
2). La has 3 apples out of 30 pieces of fruit. What percent of her fruit is apples?
Solve using any method you like. Round to the nearest percent.
3). 3 out of every 11 people prefer strawberry ice cream over vanilla. What is the percent?
4). Mel received 21 out of 30 votes. What percent did she receive?

3. Warm Up Solve the following problems by modeling with a tape diagram.
1). 20 out of 100 people like hot peppers. What percent of the people like hot peppers?
20%
2). La has 3 apples out of 30 pieces of fruit. What percent of her fruit is apples?
10%
10% % 30% 40% 50% 60% 70% 80% 90% %
10% % 30% 40% 50% 60% 70% 80% 90% %

4. Warm Up Solve the following problems by modeling with a tape diagram.
1). 20 out of 100 people like hot peppers. What percent of the people like hot peppers?
2). La has 3 apples out of 30 pieces of fruit. What percent of her fruit is apples?
Solve using any method you like. Round to the nearest percent.
3). 3 out of every 11 people prefer strawberry ice cream over vanilla. What is the percent?
4). Mel received 21 out of 30 votes. What percent did she receive?
20%
10%
27%
70%

5. 6 is 20% of 30. Finding the Part Tape Diagrams What is 20% of 30?
This means that 𝒑𝒂𝒓𝒕 𝟑𝟎 =𝟐𝟎%
10% % 30% 40% 50% 60% 70% 80% 90% %
6 is 20% of 30.

6. 135 is 45% of 300. Finding the Part Tape Diagrams Example 1:
At Lincoln Middle School, 45% of the students bring lunch from home out of 300 students. How many students bring lunch from home?
This means that 𝒑𝒂𝒓𝒕 𝟑𝟎𝟎 𝒔𝒕𝒖𝒅𝒆𝒏𝒕𝒔 =𝟒𝟓%
10% % 30% 40% 50% 60% 70% 80% 90% %
135 is 45% of 300.

7. 20 is 40% of 50. He saved $20. He paid $30 for the shoes.
Finding the Part
Tape Diagrams
Example 2:
Ed bought a pair of shoes that was on sale for 40% off. If the shoes originally cost $50.00, how much money did he save ? How much did he pay for the shoes?
This means that 𝒑𝒂𝒓𝒕 $𝟓𝟎 =𝟒𝟎%
10% % 30% 40% 50% 60% 70% 80% 90% %
20 is 40% of 50. He saved $20. He paid $30 for the shoes.

8. of means to multiply 𝟐𝟎 𝟏𝟎𝟎 ×𝟑𝟎= 𝟔𝟎𝟎 𝟏𝟎𝟎 =𝟔 𝒐𝒓 𝟎.𝟐𝟎×𝟑𝟎=𝟔
Finding the Part
Using an Expression
What is 20% of 30?
This means 𝟐𝟎% 𝒐𝒇 𝟑𝟎
𝟐𝟎 𝟏𝟎𝟎 ×𝟑𝟎= 𝟔𝟎𝟎 𝟏𝟎𝟎 =𝟔 𝒐𝒓 𝟎.𝟐𝟎×𝟑𝟎=𝟔
of means to multiply
6 is 20% of 30.

9. 𝟒𝟓 𝟏𝟎𝟎 ×𝟑𝟎𝟎=𝟏𝟑𝟓 𝒐𝒓 𝟎.𝟒𝟓×𝟑𝟎𝟎=𝟏𝟑𝟓 135 is 45% of 300. Finding the Part
Using an Expression
Example 1:
At Lincoln Middle School, 45% of the students bring lunch from home out of 300 students. How many students bring lunch from home?
This means 𝟒𝟓% 𝒐𝒇 𝟑𝟎𝟎
𝟒𝟓 𝟏𝟎𝟎 ×𝟑𝟎𝟎=𝟏𝟑𝟓 𝒐𝒓 𝟎.𝟒𝟓×𝟑𝟎𝟎=𝟏𝟑𝟓
135 is 45% of 300.

10. 20 is 40% of 50. He saved $20. He paid $30 for the shoes.
Finding the Part
Using an expression
Example 2:
Ed bought a pair of shoes that was on sale for 40% off. If the shoes originally cost $50.00, how much money did he save ? What did he pay for the shoes.
This means 𝟒𝟎% 𝒐𝒇 𝟓𝟎
𝟒𝟎 𝟏𝟎𝟎 ×𝟓𝟎=𝟐𝟎 𝒐𝒓 𝟎.𝟒𝟎×𝟓𝟎=𝟐𝟎
20 is 40% of 50. He saved $20. He paid $30 for the shoes.

11. 247 students in the band. He saved $16. He made 35 shots.
Practice
Solve each problem. Round to the nearest percent if necessary.
1). Twenty percent of high school students are in band. If there are 1,235 high school students how many are in band?
2). Kyle bought a video game for 25% off. If the game cost $64, how much money did he save?
3). Stowe made 70% of his shots during a basketball game. If he took 50 shots, how many shots did he make?
4). Kim missed 30% of the questions on her math test. If the test had 20 questions, how many questions did she get correct?
247 students in the band.
He saved $16.
He made 35 shots.
14 questions correct.

12. Closure How would you solve the following problem? What is 65% of 80?
65% of 80 is 52.