Lesson 6 4 Multiplying with Percents Standards NS

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… 1) Change the percent to a decimal and multiply 2) 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 = 0. 16 30 = 4. 8 1 0. 16 x 30 0 00 480 2) 340% of 70 = 3. 40 70 = 238 70 x 3. 4 2 80 2 100 2 380

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… 1) Change the percent to a decimal and multiply 2) Change the percent to a fraction and multiply

Tax, Commission, and Tips The tax on an $80 sweater is the tax? 4 0. 065 x 80 0 00 5200 5 200 Tax = 0. 065 . What is 80 = $5. 20

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 4200 x 0. 15 210 00 4 2 00 0 63 000 Commission = 0. 15 4200 = $630

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? 2 730 x 0. 18 15 8 4 0 7 30 0 13 140 Tips = 0. 18 730 = $131. 40

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?

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?

Quick Draw for Points! Change the percent to a decimal or a fraction, then evaluate. 5) Find 0. 8% of 500.

Quick Draw for Points! Change the percent to a decimal or a fraction, then evaluate. 6) Find 1/ % 33 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?