# A racing bike that was originally \$2,500 was on sale at 20% off. If the bike was sold for \$1,800 after a second discount, what was the second percent of.

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A racing bike that was originally \$2,500 was on sale at 20% off. If the bike was sold for \$1,800 after a second discount, what was the second percent of discount? COURSE 2 LESSON 6-9 The bike originally cost \$2,500 and was discounted by 20%. Given that the final cost of the bike was \$1,800, your goal is to find the second discount. First, find the price after the first discount. As a result of the 20% discount, the cost was 80% of the original price. 0.80 \$2,500 = \$2,000 The cost of the bike after the first discount was \$2,000. Subtracting \$1,800 from \$2,000 gives you \$200, the amount of the second discount. 6-9 Write an Equation

(continued) COURSE 2 LESSON 6-9 2,000d = 200 The second discount was 10%. = Divide each side by 2,000. d = 0.1 Simplify. 2,000d 2,000 200 2,000 = 10% Change to percent. 6-9 Write an Equation WordsPercent of second discount of \$2,000 is \$200. Equation d2,000=200 Let d = the percent of second discount.

(continued) COURSE 2 LESSON 6-9 To check, confirm that the second discount of 10% does give the final price of \$1,800. Ten percent of \$2,000 is \$200 and \$2,000 – \$200 is \$1,800. So the answer checks. 6-9 Write an Equation

A stereo originally costs a storeowner \$94.99. The percent of markup is 45%. What is the maximum percent of discount the store can offer and make a profit of at least \$15? COURSE 2 LESSON 6-9 First, find the price that the store sells the stereo. \$94.99 + 0.45 94.99 = \$137.74 The store sells the stereo for \$137.74. To make at least \$15 on the stereo, the store will have to sell it for at least \$94.99 + \$15, or \$109.99. So the discount will be \$137.74 – \$109.99, or \$27.75. The stereo costs the storeowner \$94.99. The percent of markup is 45%. Your goal is to find the maximum percent of discount the store can give and still make \$15 in profit. 6-9 Write an Equation

(continued) COURSE 2 LESSON 6-9 The maximum percent of discount the store can offer is 20%. 137.74d 137.74 27.75 137.74 = Divide each side by 137.74. d = 0.2015 Use a calculator. d 20% Change decimal to percent. 6-9 Write an Equation WordsMaximum percent of discount of \$137.74 is \$27.75. Equation d \$137.74 = \$27.75 137.74d = 27.75 Let d = the maximum percent of discount.

(continued) COURSE 2 LESSON 6-9 You can try, check, and revise different percents. The price of the stereo has to be at least \$109.99 for the store to earn \$15. Percent Percent Paid Discountby CustomerCost of StereoResult 19%81%81% \$137.74 = 111.57 20%80%80% \$137.74 = 110.19 21%79%79% \$137.74 = \$108.81Too low 22%78%78% \$137.74 = \$107.44Too low The answer checks. 6-9 Write an Equation

COURSE 2 LESSON 6-9 A department store pays \$20 for each watch in a shipment. The store sells the watches for \$75. What is the maximum percent of discount the store can offer and make a profit of at least \$20 on each watch? 47% 6-9 Write an Equation

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