The document provides examples for writing fractions in simplest form and finding equivalent fractions. It then discusses using percentages to find the total or base value in different situations. Several word problems are presented where the total or base value is unknown and must be calculated using a percentage given in the problem. Students are directed to set up and solve each problem using a proportion.

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. 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. Finding the Total Also called the BASE

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 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”. part % total 100

6. The total is very easy to identify because it follow the word “OF”. For example, 20% of _____ is 10 And, as the other 2 types, some of these you will be able to do mentally, while others require the use of a proportion 50

7. Mentally solve these problems 15 is 10% of ________ (think : 10% or 1/10 of ???? Is 15) 12 is 100% of ______ 83 Is 100% of ______ 40 Is 50% of _______ 5 Is 25% of _______ 150 12 83 80 20

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. If you left a 20 % tip for your meal, how much did the meal cost if the tip was $2.55? x = $12.75 2.55 x = 20 100 20x 2.55( 100) = 20x 255 = 20 20

10. Using a proportion 75% of what number is 15? x = 20 15 x = 75 100 75x 15( 100) = 75x 1,500 = 75 75

11. Using a proportion 16 is 200% of ______? x = 8 16 x = 200 100 200x 16( 100) = 200x 1,600 = 200 200

12. Using a proportion 8 % of ______ is 20. x = 250 20 x = 8 100 8x 20( 100) = 8x 2,000 = 8 8

13. Of the passengers on an international flight, 36% were Americans. If there were 81 American passengers, how many total passengers were on the plane? x = 225 81 x = 36 100 36x 81( 100) = 36x 8,100 = 36 36

14. 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? x = 700 35 x = 5 100 5x 35( 100) = 5x 3,500 = 5 5

15. Homework Worksheet 63-64 Page 63: Do column A Page 64: All You MUST show a PROPORTION for EVERY problem.