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Algebra 2 5.3: Applications of Systems of Linear Equations (AKA Word Problems)

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Problem 1 In 2003, the New York Yankees and the New York Mets had the highest payrolls in major league baseball. The Mets payroll was $32.8 million less than the Yankees. If the two payrolls totaled $266.6 million, what was the payroll of each team? M + Y = (Y – 32.8) + Y = Y – 32.8 = Y = Y = M = Y – 32.8 M = (149.7) – 32.8 M = Mets = $116.9 million Yankees = $149.7 million

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Problem 2 It was reported in 2004 that during the National Hockey League and National Basketball Association seasons, two hockey tickets and one basketball ticket cost $ At the same prices, one hockey ticket and two basketball tickets cost $ What were the average ticket prices for the two sports? (1) (-2) Hockey Ticket = $41.36 Basketball Ticket = $43.65

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Problem 3 Randall wants to mix a total of 200 lbs of nuts worth $5 per pound by mixing some $6 per pound cashews with some $2 per pound peanuts. How many pounds of each type of nut must he mix? CostPoundsTotal $6x6x $2y2y $52005(200) Equation 1 Equation 2 Continued…

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Problem 3 continued… (-6) (1) 150 pounds of cashews 50 pounds of peanuts

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Problem 4 Carter Fenton invested $12,000 last year in two accounts: one earning 3% interest and the other earning 4%. If he made $440 in interest last year, how much did he have in each account? %Amount Invested Interest 3%x.03x 4%y.04y 12, Equation 1 Equation 2 Continued…

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Problem 4 continued… (-.03) (1) $4,000 at 3% interest $8,000 at 4% interest

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