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Lesson 6.4: Multiplying with Percents

Lesson 6.4: Multiplying with Percents. Standards: NS 1.3 and NS 1.7 Objective: Solve problems involving percents. Solve problems about sales tax, commission, and tips. Multiplying with Percents. To find the percent of a number you can… Change the percent to a decimal and multiply

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Lesson 6.4: Multiplying with Percents

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  1. Lesson 6.4: Multiplying with Percents Standards: NS 1.3 and NS 1.7 Objective: Solve problems involving percents. Solve problems about sales tax, commission, and tips.

  2. Multiplying with Percents • To find the percent of a number you can… • Change the percent to a decimal and multiply • Change the percent to a fraction and multiply. Either way works! Just remember most percent problems are multiplication problems. • The word “of” means multiply!

  3. Example with a decimal: Find 36% of 825 Example with a fraction: Find 40% of 70 Multiplying with Percents

  4. Find the following. 1) 16% of 30 = 2) 340% of 70 = 0.16 30 4.8 3.40 70 238 = = 1 0.16 x 30 70 x 3.4 0 0 0 2 8 0 4 2 1 8 0 0 0 4 2 3 8 0 8 0

  5. Sales tax is a percent that you owe the state or country for buying the product. Commission is a percent like a bonus that the sales person gets for selling the product. A tip is extra money you give a person for serving you. You want to tip at least 15-20% of the bill. Even though each is slightly different, each involves percentages. So, to solve all three kinds of problems, you can do the same as before… Change the percent to a decimal and multiply Change the percent to a fraction and multiply Sales Tax, Commission, and Tips

  6. Tax, Commission, and Tips The tax on an $80 sweater is . What is the tax? 4 Tax = 0.065 80 $5.20 = 0.065 x 80 0 0 0 2 5 0 0 5 2 0 0

  7. Tax, Commission, and Tips Colby makes a 15% commission on all clothing he sells at a men’s store. If he sells $4200 in merchandise, what will he make? 1 Commission = 0.15 4200 $630 = 4200 x 0.15 2 1 0 0 0 4 2 0 0 0 3 0 6 0 0

  8. Tax, Commission, and Tips Melanie earns average tips of 18% while waiting tables at a local restaurant. If her sales one night were $730, what did she make in tips? Tips = 2 0.18 730 $131.40 = 730 x 0.18 1 5 8 4 0 7 0 3 0 3 1 1 4 0

  9. Quick Draw for Points! • The text is Multiplying with Percents • You will have 1 minute to 1.5 minutes to complete each problem. • More effort means more points, and more learning will occur! • Are you ready to prove yourself?

  10. Quick Draw for Points! Change the percent to a decimal or a fraction, then evaluate. 1) Find 120% of 35.

  11. Quick Draw for Points! 2) Sales Tax: The price of a new bicycle is $310. Find the total cost if you have to pay 6.5% sales tax on the bicycle.

  12. Quick Draw for Points! 3) Commission: A realtor charges a commission of 6%. What was the amount of commission on a property that sold for $250,000?

  13. Quick Draw for Points! 4) Tips: The amount of a dinner check is $48.50. About how much should you leave the server as a 15% tip?

  14. Quick Draw for Points! Change the percent to a decimal or a fraction, then evaluate. 5) Find 0.8% of 500.

  15. Quick Draw for Points! Change the percent to a decimal or a fraction, then evaluate. 6) Find 331/3% of 180.

  16. Quick Draw for Points! 7) Sale Tax: You buy a computer for $ 952 and tax is 7.5%. What is the total cost after tax?

  17. Quick Draw for Points! 8) Commission: You buy a car for $12,500. The sales person gets 5% commission on the sale. What will the sales person get?

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