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 Change the percent to a fraction and multiply. Either way works! Just remember most percent problems are multiplication problems. The word “of” means multiply!

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

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 2 8 4 8 2 1 4 8 2 3 8

Sales Tax, Commission, and Tips 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

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 5 2 5 2

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 4 2 6 3

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? 2 Tips = 0.18 730 = $131.40 730 x 0.18 1 5 8 4 7 3 1 3 1 4

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?

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

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.

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?

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?

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

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

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?

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?