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PERCENTS & EQUATIONS II

PERCENTS & EQUATIONS II. Solving “real world” problems. Commission. The amount of money a sales person receives based on the amount of sales. A realtor earns 7% of the selling price for each house that they sell. A car salesman earns 8% of the selling price for each car that they sell.

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PERCENTS & EQUATIONS II

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  1. PERCENTS & EQUATIONS II Solving “real world” problems

  2. Commission The amount of money a sales person receives based on the amount of sales. A realtor earns 7% of the selling price for each house that they sell. A car salesman earns 8% of the selling price for each car that they sell.

  3. Commission Problems • A realtor makes 7% commission on the sale of a house that sells for $150,000. To the nearest dollar, how much was the commission for this sale. • Commission is 7% of the price • Word-for-word translation: c = 0.07(150,000) • c = $10,500

  4. EXAMPLE 1 • A pharmaceutical sales representative earns 4.5% commission for sales made. How much commission is earned on a sale of $3000? (nearest dollar) • 0.045(3000) = c • c = $135

  5. EXAMPLE 2 • A salesman earns $350 on a sale of $10,000. What was the percent commission that was earned? • 350 = 10,000(c) • 350/10,000 = c • 0.035 = c • As a percent, 3.5%

  6. SURVEY QUESTIONS • 35% of the 500 people surveyed thought that taxing soda to fight obesity was a good idea. How many people was this? • 0.35(500) = P • P = 175

  7. EXAMPLE 1 • 1,067 people answered yes to the question, “Do you feel good about your life overall?” If this is 93% of the total number surveyed, how many people were surveyed? • 0.93(P) = 1067 • P = 1067/ 0.93 • P = 1147.3 or 1147 people

  8. EXAMPLE 2 • During a telephone survey, 414 people, or 46% of those called, said that they were watching station RFGT at the time of the call. How many people were called? • 0.46(x) = 414 • x = 414/ 0.46 • x = 900

  9. COMBINING WITH PROPORTIONS • Write and solve a proportion. What is 72% of 16? (nearest tenth) • How do you know what things go where? • Use the wording to set up the proportion

  10. Write and solve a proportion. What is 72% of 16? (nearest tenth) • Since this says the 72% is multiplied by 16, they must be in opposite locations.

  11. Write and solve a proportion. What is 72% of 16? (nearest tenth) • 16 must be in the denominator to be multiplied by the 16

  12. ASSIGNMENT 6.7B: 17 – 20, 30, 40 – 43 NEXT QUIZ: WEDNESDAY, MARCH 17TH

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