Do Now If the sales tax rate is 6.75%, how much tax would Adrian pay if he bought two CDs at $16.99 each and one DVD for $36.29? CD: 2 at $16.99 $33.98 DVD: 1 at $36.29 $36.29 $70.27 Total Price 0.0675 70.27 = 4.743225 Write the tax rate as a decimal and multiply by the total price. Adrian would pay $4.74 in sales tax.
Example A Anna earns $1500 monthly. Of that, $114.75 is withheld for Social Security and Medicare. What percent of Anna’s earnings are withheld for Social Security and Medicare? Think: What percent of $1500 is $114.75? 114.75 1500 n 100 = n 1500 = 100 114.75 7.65% of Anna’s earnings is withheld for Social Security and Medicare. 1500n = 11,475 n = 7.65
Example B A furniture sales associate earned $960 in commission in May. If his commission is 12% of sales, how much were his sales in May? Think: $960 is 12% of what number? Let s = total sales 960 = 0.12 s Set up an equation. 960 0.12 = s Divide each side by 0.12. 8000 = s Simplify. The associate’s sales in May were $8000.
Practice 1 John earns $2500 monthly. Of that, $500 is withheld for income tax. What percent of John’s earnings are withheld for income tax? Think: What percent of $2500 is $500? 500 2500 n 100 = n 2500 = 100 500 20% of John’s earnings are withheld for income tax. 2500n = 50,000 n = 20
Practice 2 A sales associate earned $770 in commission in May. If his commission is 7% of sales, how much were his sales in May? Think: $770 is 7% of what number? Let s represent total sales 770 = 0.07 s Set up an equation. 770 0.07 = s Divide each side by 0.07. 11,000 = s Simplify. The associate’s sales in May were $11,000.
Practice 3 Isaac earned $1,800 last month. He put $270 into savings. What percent of his earnings did Isaac put into savings?
Practice 4 Edel works for a company that pays a 15% commission on her total sales. If she wants to earn $450 in commissions, how much do her total sales have to be?
Practice 5 Phillipe works for a computer store that pays a 12% commission and no salary. What will Phillipe’s weekly sales have to be for him to earn $360?
Practice 6 Jon earned $38,000 last year. He paid $6,840 towards entertainment. What percent of his earnings did Jon pay in entertainment expenses?
Lesson Quiz: Part I 1. Every month, Gillian makes $1600 plus an 8.9% commission on sales. If her sales last month totaled $18,400, what was her total pay? 2. The sales tax is 5.75%, and the shirt costs $20. What is the total cost of the shirt? 3. Sheridan has a yearly income of $39,650, and he is advised to invest $4500 every year. What percent of his income should he invest, to the nearest tenth of a percent? $3237.60 $21.15 11.3%
Lesson Quiz: Part II 4. If you earn a 4% commission, how much would your total sales have to be to make a commission of $115? $2875
Lesson Quiz for Student Response Systems 1. Vito works at a supermarket. He earns a weekly salary of $500 plus 5% commission on sales. His sales last week totaled $3600. What was his total pay last week? A. $525 B. $680 C. $725 D. $880 12
Lesson Quiz for Student Response Systems 2. Arnold bought an MP3 player. If the sales tax is 8%, and the MP3 player costs $74, what is the total cost of the MP3 player? A. $86.25 B. $82.75 C. $79.92 D. $78.75 13
Lesson Quiz for Student Response Systems 3. Marcus earns $30,000 yearly. Of that, he spends $3250 on clothes every year. What percent of his earnings are spent on clothes to the nearest tenth of a percent? A. 5.7% B. 7.4% C. 9.1% D. 10.8% 14
Lesson Quiz for Student Response Systems 4. Jim works in an automobile showroom. He earns 5% commission on the sale of a car. If he earned $1750 as commission, what is the price of the car? A. $35,000 B. $40,000 C. $42,000 D. $45,500 15