Section 6.6 Percents and Equations Algebra Concepts Section 6.6 Percents and Equations

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%

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

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

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

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

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

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

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

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

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

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

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?

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

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?

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