4.3 Applications of Systems of Linear Equations

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Presentation transcript:

4.3 Applications of Systems of Linear Equations I CAN: Solve real world problems using systems.

EXAMPLE 1 A rectangular soccer field has perimeter 360 yd. Its length is 20 yd more than its width. What are its dimensions?

EXAMPLE 2 In recent Major League Baseball and National Football League seasons, based on average ticket prices, three baseball tickets and two football tickets would have cost $159.50, while two baseball tickets and one football ticket would have cost $89.66. What were the average ticket prices for the tickets for the two sports? (Source: Team Marketing Report, Chicago.)

EXAMPLE 3 A grocer has some $4-per-lb coffee as some $8-per-lb coffee that she will mix to make 50 lb of $5.60-per-lb coffee. How many pounds of each should be used? Number of Pounds Price per Pound Value of Coffee x 4 4x y 8 8y 50 5.60 280

EXAMPLE 4 A train travels 600 mi in the same time that a truck travels 520 mi. Find the speed of each vehicle if the train’s average speed is 8 mph faster than the truck’s. Distance Rate Time Train Truck x + 8 600 520 x

EXAMPLE 5 How many liters each of 15% acid and 33% acid should be mixed to get 120 liters of 21% acid? Liters of solution % as a decimal Liters of pure acid x .15 .15x y .33 .33y 120 .21 25.2

HOMEWORK: 4.3 pg 259 #1,5,11,12,17,21,23,27,29