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Multiplying with Percents: Sales Tax, Commission, and Tips - Lesson 6.4

Learn how to solve problems involving percents and practice multiplying with percents in various scenarios such as sales tax, commission, and tips. Improve your math skills and understand the concept of percentages.

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Multiplying with Percents: Sales Tax, Commission, and Tips - Lesson 6.4

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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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