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# 7.3.1 finding the part

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### 7.3.1 finding the part

1. 1. Lesson 7.3 , For use with pages 354-358 Solve the proportion. ANSWER 14 ANSWER 42 1. x 35 = 16 40 2. 24 x = 32 56
2. 2. <ul><li>Math homework for the week of Nov. 14-18 </li></ul><ul><li>Monday: 7.3 Finding the part. Homework– worksheet 59B-60 all. </li></ul><ul><li>Tuesday: 7.3 Finding the percent. Homework– worksheet 61B-62 all. </li></ul><ul><li>Wednesday: 7.3 Finding the total/base. Homework– worksheet 61B-62 all. </li></ul><ul><li>Thursday: Review. Homework– worksheet 65B-66 all. </li></ul><ul><li>Friday: Quiz over ratios, proportions and the three types of percent problems. (Proportion quiz corrections due.) </li></ul>
3. 3. Finding the PART (that represents the percent) Section 7.3
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>There are three different types of percent problems. Today we will be looking only one of these types – finding the part (or sometimes called the percentage). </li></ul><ul><li> part % </li></ul><ul><li>(of) total 100 </li></ul>Notice: the percent always goes over 100.
6. 6. <ul><li>Some should be easy enough to do mentally . Others you will need to use a proportion. </li></ul><ul><li>Can you do these in your head? </li></ul><ul><li>25% of 16 is_____ 50% of 60 is_____ </li></ul><ul><li>75% of 12 is_____ 33 1/3% of 21 is____ </li></ul><ul><li>100% of 17 is_____ 40% of 20 is_____ </li></ul>
7. 7. <ul><li>Some should be easy enough to do mentally . Others you will need to use a proportion. </li></ul><ul><li>Can you do these in your head? </li></ul><ul><li>25% of 16 is_____ 50% of 60 is_____ </li></ul><ul><li>75% of 12 is_____ 33 1/3% of 21 is____ </li></ul><ul><li>100% of 17 is_____ 40% of 20 is_____ </li></ul>8 30 9 7 17 4
8. 8. <ul><li>part (is) % total (of) 100 </li></ul><ul><li>8% of 50 is what number? </li></ul>a = 4 a 50 = 8 100 100a 8( 50) = 100a 400 = 100 100
9. 9. <ul><li>part (is) % total (of) 100 </li></ul><ul><li>What number is 25% of 36? </li></ul>a = 9 a 36 = 25 100 100a 25( 36) = 100a 900 = 100 100
10. 10. <ul><li>part (is) % total (of) 100 </li></ul><ul><li>______ is 40% of 25. </li></ul>a = 10 a 25 = 40 100 100a 40( 25) = 100a 1,000 = 100 100
11. 11. EXAMPLE 2 Finding Part of a Base SOLUTION a = 3400 School Newspaper Your school newspaper’s budget this year is 160% of last year’s budget, which was \$2125 . What is this year’s budget? a 2125 = 160 100 100a 2125( 160) = 100a 340,000 = 100 100
12. 12. <ul><li>A waiter may receive 15% of the bill for a tip. If your bill is \$28.45. what would be an appropriate amount to leave for a tip? </li></ul>x = \$4.27 x 28.45 = 15 100 100x 15( 28.45) = 100x 426.75 = 100 100
13. 13. <ul><li>65% of the students at LCMS agreed they did not study prior to tests. If there are 700 students in the building, how many students do not study prior to a test? </li></ul><ul><li>How many “do” study? </li></ul>a = 455 a 700 = 65 100 100a 65( 700) = 100a 45,500 = 100 100
14. 14. <ul><li>65% of the customers bought at least one item that was on sale in the store. How many bought an item “on sale”? </li></ul>= 65 100
15. 15. <ul><li>Water makes up about 95% of the weight of a watermelon. How many pounds of a 12-pound watermelon is NOT water? </li></ul>a = 0.6 a = 11.4 12 – 11.4 = 0.6 a 12 = 5 100 100a 5( 12) = 100a 60 = 100 100 a 12 = 95 100 100a 12( 95) = 100a 1140 = 100 100
16. 16. Homework <ul><li>Worksheet 59-60 </li></ul><ul><ul><li>Page 59: Do column B </li></ul></ul><ul><ul><li>Page 60: All </li></ul></ul><ul><ul><li>You MUST show a PROPORTION for EVERY problem. </li></ul></ul>