7.3.2 finding the percent (of a number)

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Lesson 7.3, For use with pages 354 1. 49 6 3 = 21 x 2. 36 6 0 = x 5 5 Solve the proportion.

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Page 1: 7.3.2 finding the percent (of a number)

Lesson 7.3, For use with pages 354-358

1. 4963 = 21

x2. 36

60 =x

55

Solve the proportion.

Page 2: 7.3.2 finding the percent (of a number)

Lesson 7.3, For use with pages 354-358

ANSWER 27 ANSWER 33

1. 4963 = 21

x2. 36

60 =x

55

Solve the proportion.

Page 3: 7.3.2 finding the percent (of a number)

Finding the Percent (of a Number)

Page 4: 7.3.2 finding the percent (of a number)

Essential Questions

Where are different situations percents are used in real life?

As a consumer, why is it important for you to know about percents?

Page 5: 7.3.2 finding the percent (of a number)

Today we will be looking at how to find the percent of a fraction or ratio.

For example – 4 out of 5 is ____%

Again – some problems you may be able to do in your head, while others will require the use of a proportion.

Page 6: 7.3.2 finding the percent (of a number)

Can you do these mentally?

½ is what percent?1/5 is what percent?

¼ is ____% ¾ is _______%

1/10 is _____% 7/10 is _______%15/100 is _____% 96/100 is _____%

50%20%

25 75

10 70

15 96

Page 7: 7.3.2 finding the percent (of a number)

Continue Mental Math 12/24 is ______%

36/48 is ______%

49 / 50 is _____%

40 / 50 is ______%

60 / 50 is ______%

50

75

98

80

120

Page 8: 7.3.2 finding the percent (of a number)

Using a proportion to find the percent

Proportion set up will not change, but the number you are looking for will.

part %

total 100

Which part will you be looking for in the proportion?

Page 9: 7.3.2 finding the percent (of a number)

19 is ____% of 95

Set it up using a proportion

1995

= x

100

95x 19( 100)=

95x 1,900=95 95

x = 20%

Page 10: 7.3.2 finding the percent (of a number)

18 is x% of 54

1854

= x

100

54x 18( 100)=

54x 1,800=54 54

x = 33 1/3%

Page 11: 7.3.2 finding the percent (of a number)

_____% of 25 is 18.75

18.7525

= x

100

25x 18.75( 100)=

25x 1,875=25 25

x = 75%

Page 12: 7.3.2 finding the percent (of a number)

GUIDED PRACTICE for Example 1

Use a percent proportion.

1. 63 is what percent of 75 ?

6375

= x

100

75x 63( 100)=

75x 63,000=75 75

x = 840

Page 13: 7.3.2 finding the percent (of a number)

16 out of 20 people prefer to use a debit card instead of writing a check. What percent prefers using a debit card?

What % still prefers to use a check?

1620

= x

100

20x 16( 100)=

20x 1,600=20 20

x = 80%

Page 14: 7.3.2 finding the percent (of a number)

During basketball practice, Lisa attempted 35 free throws, but made only 28 of them. What percent attempted did she make?

Is she a good free-throw shooter?The average in the NBA is 76%.

2835

= x

100

35x 28( 100)=

35x 2,800=35 35

x = 80%

Page 15: 7.3.2 finding the percent (of a number)

Last baseball season, Austin hit 48 home runs. So far this season, he has hit 30 home runs. The number of H-Runs hit this season is what percent of the number of H-Runs hit last season?

3048

= x

100

48x 30( 100)=

48x 3,000=48 48

x = 62.5%

Page 16: 7.3.2 finding the percent (of a number)

Homework

Worksheet 61-62 Page 61: Do column B Page 62: All

You MUST show a PROPORTION for EVERY problem.