1. Section 6.6 Percents and Equations
Algebra Concepts
Section 6.6
Percents and Equations

2. Warm-up Change the following to decimals. #1 36% #2 4% #3 240% #4 6.2%
#1 36%
#2 4%
#3 240%
#4 6.2%
#5 88%

3. Write an equation Let x = the unknown Of means multiply Is means =
Find means 𝒙=
In an equation, percents are always written in decimal form

4. Find 30% of 200.
Write this as a math equation! 𝑥=
𝑥=60

5. Types of equation
Find the percent
Find the part
Find the whole

6. Finding percent What percent of 50 is 20? 𝑥 50 =20
Divide both sides by 50
𝑥=.40
Write answer as a percent
40%

7. Finding the part
What is 25% of 80?
𝑥=.25×80
𝑥=20

8. Finding the whole 7 is 40% of what number? 7=.40(𝑥)
Divide both sides by .40
𝑥=17.5

9. Mix it up!
#1 35 is what percent of 50? #2 What number is 20% of 75? #3 22 is 40% of what number?

10. Watch out for tricky problems
12 is 150% of what number?
12=1.50(x)
8=x

11. Watch out for tricky problems
45 is what percent of 15?
45=𝑥 15
3=𝑥
Remember percents are in decimal form!
Answer 300%

12. Commission- amount of pay based on the amount a person sells
𝐶𝑜𝑚𝑚𝑖𝑠𝑠𝑖𝑜𝑛=%(𝑎𝑚𝑜𝑢𝑛𝑡 𝑜𝑓 𝑠𝑎𝑙𝑒𝑠)

13. Meaghan is a realtor and she makes 3% of houses she sells
Meaghan is a realtor and she makes 3% of houses she sells. Last week, she sold a house for $267,000. How much commission did she make?

14. How many minutes a day
do you watch TV?
a) none
b) between 0 and 60 minutes
c) between 1 and 2 hours
d) more than 2 hours

15. How can we set up an equation to find the percent of students in this class that watch more than three hours of TV a day?