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

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 2 8 4 8 2 1 4 8 2 3 8

5. 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

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 5 2 5 2

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 4 2 6 3

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

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. 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.

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 $ About how much should you leave the server as a 15% tip?

14. 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.

15. 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.

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?