STRAIGHT FORWARD PERCENT EQUATION EXAMPLES:
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1 5.2 GN Percent Equations Name: STRAIGHT FORWARD PERCENT EQUATION EXAMPLES: Method 1: Set up a proportion. Method 2: Using key words to write an equation. Reminder A percent is simply the number in front of % sign divided by 100 #% à # 100 Ex 1 Ex 2
2 TRANSLATING APPLICATIONS STRAIGHT FORWARD PERCENT EQUATION EXAMPLES:
3 4.2 PRACTICE PROBLEMS 1) Match the vocabulary to its correct definition (Look back at you notes). Vocabulary: Definition a) Percent Multiply b) Of x Replace with an unknown variable c) Is #/100 Divide by 100 d) What = Equals
4 Solve each problem. If necessary, round your answer to the nearest tenth (or tenth of a percent). 2) 102 is what percent of ) 48 is 300% of what? 4) 14 is 24% of what? 5) What percent of 84 is 126? 6) What percent of 87 is 87? 7) 55 is what percent of 15? 8) 7% of 29 is what? 9) What is 270% of 21.6?
5 10) Teaching Money. Teacher salaries vary state to state. The average teacher salary in California, the highest paying state, is $63,640 while the average teacher salary in the lowest state (S. Dakota) is 55.6% of that. What is the average teacher salary in South Dakota? 11) The owner of the Carousel Art Gallery receives a commission of 12% on paintings that are sold on consignment. Find the commission on a painting that sold for $22,600. Solve the following commission problems. COMMISSION = PERCENTAGE * SALES 12) When Mrs. Urquhart worked at Nordstrom s I made 8% sales commission on whatever I sold. a) If I sold $500 worth of merchandise to my customers, how much would I make in commission? b) If I wanted to make $300 in commission, how much would I have to sell at the same rate?
6 7) If a sales person receives a 12% commission on their sales and sells $1500 worth of merchandise, how much would they earn in commission? 8) If a sales person receives an 18% commission on their sales, how much would they need to sell in order to earn $1,000 in commission? 9) Maria makes money by commission rates. She gets 15% of everything she sells. If Maria sold $23000 worth of items this month, what is her salary for the month? 10) Tiffany makes money by commission rates. She gets 21% of everything she sells. If Tiffany sold $27000 worth of items this month, what is her salary for the month? 11) Sharon makes money by commission rates. She gets 17% of everything she sells. If Sharon sold $37000 worth of items this month, what is her salary for the month? Equation: 12) A stockbroker receives a commission of 1.5% of the price of stock that is bought or sold. Find the commission on 100 shares of stock that were bought for $5600. Equation:
7 13) The owner of the Carousel Art Gallery receives a commission of 20% on paintings that are sold on consignment. Find the commission on a painting that sold for $22, ) A real estate agent received a 6% commission on the selling price of a house. If his commission was $8,880, what was the selling price of the house? 15) The owner of the Carousel Art Gallery receives a commission of 20% on paintings that are sold on consignment. Find the commission on a painting that sold for $22, ) A real estate agent received a 6% commission on the selling price of a house. If his commission was $8,880, what was the selling price of the house? 17) The owner of the Carousel Art Gallery receives a commission of 20% on paintings that are sold on consignment. Find the commission on a painting that sold for $22, ) A real estate agent received a 6% commission on the selling price of a house. If his commission was $8,880, what was the selling price of the house?
8 Solve the following commission problems. GROSS PAY = FIXED SALARY + COMMISSION 19) Nicole Tobin receives a salary of $250 per week plus a commission of 15% on all sales over $1500. Find her earnings during a week in which sales totaled $ ) Jose makes a month plus some money by commission rates. He gets 6% of everything he sells. If Jose sold $59000 worth of items this month, what is his salary for the month? 21) Cindy makes $9000 a month plus some money by commission rates. She gets 10% of everything she sells. If Cindy sold $30000 worth of items this month, what is her salary for the month? 22) Peter makes $7000 a month plus some money by commission rates. He gets 6% of everything he sells. If Peter sold $55000 worth of items this month, what is his salary for the month? 23) Sonny works as a furniture salesman and earns a base salary of $350 per week plus 6% commission on sales. What was Sonny s weekly gross salary if his total sales were $3750? 24) Veronica works at Future Shop and earns $10.50/h plus 6% commission on sales. Last week Veronica worked 40 hours. What was Veronica s weekly gross salary if her total sales were $2050?
9 25) Tiffany makes a base monthly salary of $3600. As a vendor, she must sell $17000 worth of items per month. She also makes a 5% commission on all sales beyond the monthly quota. If Tiffany sold $23800 worth of items this month, what is her total salary for the month including base salary and commission to the nearest dollar? Solve the following commission problems. COMMISSION TOTAL = COMMISSION 1 + COMMISSION 2 26) Johnny is a realtor and earns 3% commission on the first $150,000 of the sale of a home and 4% on any amount over $150,000. Determine his pay if he sold a property worth $625,000 27) Johnny is a realtor and earns 4% commission on the first $100,000 of the sale of a home and 5% on any amount over $100,000. Determine his pay if he sold a property worth $420,000
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Name Date Class. 2. p = $600, r = 4%, t = 3 years. 4. I = $270, r = 5%, t = 3 years. 6. I = $108, p = $900, t = 3 years
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