Lesson  7.3 , For use with pages  354-358 Solve the proportion. 1. 49 63 = 21 x 2. 36 60 = x 55
Lesson  7.3 , For use with pages  354-358 Solve the proportion. ANSWER 27 ANSWER 33 1. 49 63 = 21 x 2. 36 60 = x 55
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?
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.
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
Continue Mental Math 12/24 is ______% 36/48  is ______% 49 / 50  is _____% 40 / 50 is ______% 60 / 50  is ______% 50 75 98 80 120
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?
19 is ____%  of 95 Set it up using a proportion  x  =  20% 19 95 = x 100 95x  19( 100) = 95x  1,900 = 95 95
18 is x% of 54 x  =  33 1/3% 18 54 = x 100 54x  18( 100) = 54x  1,800 = 54 54
_____% of 25 is 18.75 x  =  75% 18.75 25 = x 100 25x  18.75( 100) = 25x  1,875 = 25 25
GUIDED PRACTICE for Example 1 Use a percent proportion. 1.  63   is what percent of   75  ? x  =  840 63 75 = x 100 75x  63( 100) = 75x  63,000 = 75 75
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? x  =  80% 16 20 = x 100 20x 16( 100) = 20x  1,600 = 20 20
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%. x  =  80% 28 35 = x 100 35x  28( 100) = 35x  2,800 = 35 35
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? x  =  62.5% 30 48 = x 100 48x  30( 100) = 48x  3,000 = 48 48
Homework Worksheet 61-62 Page 61: Do column B Page 62: All You MUST show a PROPORTION for EVERY problem.

7.3.2 finding the percent (of a number)

  • 1.
    Lesson 7.3, For use with pages 354-358 Solve the proportion. 1. 49 63 = 21 x 2. 36 60 = x 55
  • 2.
    Lesson 7.3, For use with pages 354-358 Solve the proportion. ANSWER 27 ANSWER 33 1. 49 63 = 21 x 2. 36 60 = x 55
  • 3.
    Finding the Percent(of a Number)
  • 4.
    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?
  • 5.
    Today we willbe 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.
  • 6.
    Can you dothese 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
  • 7.
    Continue Mental Math12/24 is ______% 36/48 is ______% 49 / 50 is _____% 40 / 50 is ______% 60 / 50 is ______% 50 75 98 80 120
  • 8.
    Using a proportionto 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?
  • 9.
    19 is ____% of 95 Set it up using a proportion x = 20% 19 95 = x 100 95x 19( 100) = 95x 1,900 = 95 95
  • 10.
    18 is x%of 54 x = 33 1/3% 18 54 = x 100 54x 18( 100) = 54x 1,800 = 54 54
  • 11.
    _____% of 25is 18.75 x = 75% 18.75 25 = x 100 25x 18.75( 100) = 25x 1,875 = 25 25
  • 12.
    GUIDED PRACTICE forExample 1 Use a percent proportion. 1. 63 is what percent of 75 ? x = 840 63 75 = x 100 75x 63( 100) = 75x 63,000 = 75 75
  • 13.
    16 out of20 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? x = 80% 16 20 = x 100 20x 16( 100) = 20x 1,600 = 20 20
  • 14.
    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%. x = 80% 28 35 = x 100 35x 28( 100) = 35x 2,800 = 35 35
  • 15.
    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? x = 62.5% 30 48 = x 100 48x 30( 100) = 48x 3,000 = 48 48
  • 16.
    Homework Worksheet 61-62Page 61: Do column B Page 62: All You MUST show a PROPORTION for EVERY problem.