1 / 18

6.3 – Percent Problems with Equations

6.3 – Percent Problems with Equations. Translate the following statements to equations:. 8 is what percent of 48?. 2.6 is 40% of what number?. What number is 90% of 0.045?. 6.3 – Percent Problems with Equations. Write the equation and solve. What number is 25% of 90?. x. =. 25%. 90.

blue
Download Presentation

6.3 – Percent Problems with Equations

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. 6.3 – Percent Problems with Equations Translate the following statements to equations: 8 is what percent of 48? 2.6 is 40% of what number? What number is 90% of 0.045?

  2. 6.3 – Percent Problems with Equations Write the equation and solve. What number is 25% of 90? x = 25% 90 . x = 0.25 90 . x = 22.5

  3. 6.3 – Percent Problems with Equations Write the equation and solve. 15% of what number is 2.4? x = 15% 2.4 . 0.15 x = 2.4 0.15 x = 2.4 0.15 0.15 x = 16

  4. 6.3 – Percent Problems with Equations Write the equation and solve. What percent of 90 is 27? x = 90 27 . = 90x 27 90 x = 27 90 90 x = 0.3 x = 100% 0.3 . x = 30%

  5. 6.3 – Percent Problems with Equations Write the equation and solve. 18 is 4.5% of what number? x 18 = 4.5% . 18 0.045x = = 0.045x 18 0.045 0.045 x 400 =

  6. 6.5 – Applications of Percent The length of the Appalachian Trail is 2174 miles. Twenty-five percent of the length is in the state of Virginia. How many miles are in Virginia? x 2174 25% = . 2174 . 0.25 = x 543.5 = x miles

  7. 6.5 – Applications of Percent There are currently 130,000 nurses in the state of Florida. Of those nurses, 34,000 are new. What is the percentage of new nurses? Round to the nearest whole percent. x 34,000 130,000 = . 130,000 x = 34,000 130,000 130,000 x = 0.261 x = 0.261 . 100% x = 26.1% x = 26%

  8. 6.5 – Applications of Percent In 2000, there were 240 million vehicles on the road in the United States. In seven years, the total was increased by 3%. (a) What was the increase in the number of vehicles in the seven years? (b) What was the total number of vehicles in 2007? x = (a) 3% 7.2 + (b) 240 240 . x 240 0.03 = . 247.2 million vehicles x = 7.2 million vehicles

  9. 6.5 – Applications of Percent Percent of Increase: amount of increase 100% . original amount The number of people attending a local play increased from 285 on Friday to 333 on Saturday. Find the percent of increase and round to the nearest tenth percent. 48 333 – 285 = amount of increase: 285 original amount: 48 16.84% = 16.8% 100% = 0.1684 100% = . . 285 increase

  10. 6.5 – Applications of Percent Percent of Decrease: amount of decrease 100% . original amount A town with a population of 20,200 in 1995 decreased to 18,483 in 2005. What is the percent decrease? Round to the nearest tenth percent, if necessary 20,200 – 18483 = amount of decrease: 1717 20,200 original amount: 1717 decrease 8.5% 100% = 0.085 100% = . . 20,200

  11. 6.6 – Percent and Problem Solving: Sales Tax, Commission, and Discounts Sales Tax and Total Price: Sales Tax = purchase price tax rate as a decimal . purchase price: $21.00 tax rate: 7% = 0.07 Sales Tax = $21.00 . 0.07 Sales Tax = $1.47 sales tax = Total Price purchase price + Total Price = $21.00 + $1.47 Total Price = $22.47

  12. 6.6 – Percent and Problem Solving: Sales Tax, Commission, and Discounts An artificial holiday tree costs $59.90. If the tax rate is 8.5%, what are the sales tax and the total price. Round the sales tax to the nearest cent. Total Price Sales Tax 8.5% 59.90 + 5.09 59.90 . 64.99 59.90 0.085 . $64.99 5.0915 $5.09

  13. 6.6 – Percent and Problem Solving: Sales Tax, Commission, and Discounts If a car costs $18,500 and the sales tax is $1665, what is the sales tax rate? x = 18500 1665 . 18500 x = 1665 18500 18500 x = 0.09 x 100% = 0.09 . x = 9%

  14. 6.6 – Percent and Problem Solving: Sales Tax, Commission, and Discounts commission rate as a decimal Commission = total sales . Total sales: $500.00 Commission rate: 15% = 0.15 Commission = 500.00 . 0.15 Commission = $75.00

  15. 6.6 – Percent and Problem Solving: Sales Tax, Commission, and Discounts A sales representative from a paper products company sold $47,632 worth of products during a month. The sales commission rate was 6.6%. What was the commission? Commission 6.6% 47,632 . 0.066 47,632 . 3143.712 $3,143.71

  16. 6.6 – Percent and Problem Solving: Sales Tax, Commission, and Discounts A salesperson earns $645 for selling $4300 worth of appliances. What is the commission rate? x = 645 4,300 . 4,300 x = 645 4,300 4,300 x 0.15 = 100% x 0.15 = . x = 15%

  17. 6.6 – Percent and Problem Solving: Sales Tax, Commission, and Discounts Discount and Sales Price: Amount of Discount = original price discount rate as a decimal . original price: $160.00 discount rate: 28% = 0.28 Amount of discount = $160.00 . 0.28 Amount of discount= $44.80 – amount of discount original price Sales Price = Sales Price = 160.00 – 44.8 Sales Price = $115.20

  18. 6.6 – Percent and Problem Solving: Sales Tax, Commission, and Discounts A discontinued washer/dryer combination is advertise on sale for 35% off the original price of $700. What are the amount of discount and the sales price? Sales Price Amount of discount 700.00 – 245.00 35% 700 . 455.00 700 0.35 . $455.00 245.00 $245.00

More Related