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# 7.3.3 finding the total

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### 7.3.3 finding the total

1. 1. Lesson 7.1 , For use with pages 343-346 Write the fraction in simplest form. Write two fractions that are equivalent to the given fraction. 1. 13 52 2. 21 9
2. 2. Lesson 7.1 , For use with pages 343-346 Write the fraction in simplest form. Write two fractions that are equivalent to the given fraction. 1. 13 52 ANSWER 1 4 2. 21 9 ANSWER 3 7’ 6 14
3. 3. Finding the Total Also called the BASE
4. 4. Essential Questions <ul><li>Where are different situations percents are used in real life? </li></ul><ul><li>As a consumer, why is it important for you to know about percents? </li></ul>
5. 5. <ul><li>Today will we look at the 3 rd and last type of percent set-up. We will be looking for the “total” amount or some times called the “base”. </li></ul><ul><li>part % </li></ul><ul><li>total 100 </li></ul>
6. 6. <ul><li>The total is very easy to identify because it follow the word “OF”. </li></ul><ul><li>For example, 20% of _____ is 10 </li></ul><ul><li>And, as the other 2 types, some of these you will be able to do mentally, while others require the use of a proportion </li></ul>50
7. 7. Mentally solve these problems <ul><li>15 is 10% of ________ </li></ul><ul><li>(think : 10% or 1/10 of ???? Is 15) </li></ul><ul><li>12 is 100% of ______ </li></ul><ul><li>83 Is 100% of ______ </li></ul><ul><li>40 Is 50% of _______ </li></ul><ul><li>5 Is 25% of _______ </li></ul>150 12 83 80 20
8. 8. EXAMPLE 3 Finding a Base 24 is 0.8% of what number? x = 3000 25 x = 0.8 100 0.8x 25( 100) = 0.8x 3,000 = 0.8 0.8
9. 9. <ul><li>If you left a 20 % tip for your meal, how much did the meal cost if the tip was \$2.55? </li></ul>x = \$12.75 2.55 x = 20 100 20x 2.55( 100) = 20x 255 = 20 20
10. 10. Using a proportion <ul><li>75% of what number is 15? </li></ul>x = 20 15 x = 75 100 75x 15( 100) = 75x 1,500 = 75 75
11. 11. Using a proportion <ul><li>16 is 200% of ______? </li></ul>x = 8 16 x = 200 100 200x 16( 100) = 200x 1,600 = 200 200
12. 12. Using a proportion <ul><li>8 % of ______ is 20. </li></ul>x = 250 20 x = 8 100 8x 20( 100) = 8x 2,000 = 8 8
13. 13. <ul><li>Of the passengers on an international flight, 36% were Americans. If there were 81 American passengers, how many total passengers were on the plane? </li></ul>x = 225 81 x = 36 100 36x 81( 100) = 36x 8,100 = 36 36
14. 14. <ul><li>There were 35 boys out for football this fall. This represents only about 5% of the total enrollment of the building. About how many students are in the building? </li></ul>x = 700 35 x = 5 100 5x 35( 100) = 5x 3,500 = 5 5
15. 15. Homework <ul><li>Worksheet 63-64 </li></ul><ul><ul><li>Page 63: Do column A </li></ul></ul><ul><ul><li>Page 64: All </li></ul></ul><ul><ul><li>You MUST show a PROPORTION for EVERY problem. </li></ul></ul>