PERCENTS & PERCENTS & EQUATIONS IIEQUATIONS II

Solving “real world” Solving “real world” problemsproblems

CommissionCommission

The amount of money a sales person The amount of money a sales person receives based on the amount of receives based on the amount of

sales.sales.

A realtor earns 7% of the selling price A realtor earns 7% of the selling price for each house that they sell.for each house that they sell.

A car salesman earns 8% of the selling A car salesman earns 8% of the selling price for each car that they sell.price for each car that they sell.

Commission ProblemsCommission Problems

A realtor makes 7% commission on the A realtor makes 7% commission on the sale of a house that sells for $150,000. To sale of a house that sells for $150,000. To the nearest dollar, how much was the the nearest dollar, how much was the commission for this sale.commission for this sale.

Commission is 7% of the priceCommission is 7% of the price Word-for-word translation: Word-for-word translation: cc

= 0.07(150,000)= 0.07(150,000) cc = $10,500 = $10,500

EXAMPLE 1EXAMPLE 1

A pharmaceutical sales A pharmaceutical sales representative earns 4.5% representative earns 4.5% commission for sales made. How commission for sales made. How much commission is earned on a sale much commission is earned on a sale of $3000? (nearest dollar)of $3000? (nearest dollar)

0.045(3000) = 0.045(3000) = cc cc = $135 = $135

EXAMPLE 2EXAMPLE 2

A salesman earns $350 on a sale of A salesman earns $350 on a sale of $10,000. What was the percent $10,000. What was the percent commission that was earned?commission that was earned?

350 = 10,000(350 = 10,000(cc)) 350/10,000 = 350/10,000 = cc 0.035 = 0.035 = cc As a percent, 3.5%As a percent, 3.5%

SURVEY QUESTIONSSURVEY QUESTIONS

35% of the 500 people surveyed 35% of the 500 people surveyed thought that taxing soda to fight thought that taxing soda to fight obesity was a good idea. How many obesity was a good idea. How many people was this?people was this?

0.35(500) = 0.35(500) = PP PP = 175 = 175

EXAMPLE 1EXAMPLE 1

1,067 people answered yes to the 1,067 people answered yes to the question, “Do you feel good about question, “Do you feel good about your life overall?” If this is 93% of your life overall?” If this is 93% of the total number surveyed, how the total number surveyed, how many people were surveyed?many people were surveyed?

0.93(0.93(PP) = 1067) = 1067 PP = 1067/ 0.93 = 1067/ 0.93 PP = 1147.3 or 1147 people = 1147.3 or 1147 people

EXAMPLE 2EXAMPLE 2

During a telephone survey, 414 During a telephone survey, 414 people, or 46% of those called, said people, or 46% of those called, said that they were watching station that they were watching station RFGTRFGT at the time of the call. How at the time of the call. How many people were called?many people were called?

0.46(0.46(xx) = 414) = 414 xx = 414/ 0.46 = 414/ 0.46 xx = 900 = 900

COMBINING WITH COMBINING WITH PROPORTIONSPROPORTIONS

Write and solve a proportion. What Write and solve a proportion. What is 72% of 16? (nearest tenth)is 72% of 16? (nearest tenth)

How do you know what things go How do you know what things go where?where?

Use the wording to set up the Use the wording to set up the proportionproportion

Write and solve a Write and solve a proportion. What proportion. What is 72% of 16? is 72% of 16? (nearest tenth)(nearest tenth)

Since this says the Since this says the 72% is multiplied 72% is multiplied by 16, they must by 16, they must be in opposite be in opposite locations.locations.

72

100 16

x

Write and solve a Write and solve a proportion. What proportion. What is 72% of 16? is 72% of 16? (nearest tenth)(nearest tenth)

16 must be in the 16 must be in the denominator to be denominator to be multiplied by the multiplied by the 1616

72

100 16

x

ASSIGNMENTASSIGNMENT

6.7B: 17 – 20, 30, 40 – 436.7B: 17 – 20, 30, 40 – 43

NEXT QUIZ: WEDNESDAY, MARCH NEXT QUIZ: WEDNESDAY, MARCH 17TH17TH