LINEAR SYSTEMS WORD PROBLEMS EQ: HOW ARE REAL-WORLD PROBLEMS SOLVED USING LINEAR SYSTEMS OF EQUATIONS? Please turn cleear everything but a pencil.

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LINEAR SYSTEMS WORD PROBLEMS EQ: HOW ARE REAL-WORLD PROBLEMS SOLVED USING LINEAR SYSTEMS OF EQUATIONS? Please turn cleear everything but a pencil.

THINK ABOUT THESE SITUATIONS… On Mrs. Miller’s mutant farm, there are cats with 2 eyes and 4 ears as well as dogs with 5 eyes and 6 ears. How many dogs and cats are there if the total number of eyes is 25 and the total number of ears is 26? In three more years, Miguel's grandfather will be six times as old as Miguel was last year. When Miguel's present age is added to his grandfather's present age, the total is 68. How old is each one now? You sell tickets for admission to your school play and collect a total of $104. Admission prices are $6 for adults and $4 for children. You sold 21 tickets. How many adult tickets and how many children tickets did you sell? You’ve seen these before… Now you’ll learn how to solve them more easily!

Systems of equations: State your solution: Define variables: X = X = Y = Y = Solve the systems SHOWING ALL STEPS: HOW TO SOLVE A SYSTEMS WORD PROBLEM: X = # of adult tickets Y = # of child tickets 6x + 4y = 104 x + y = 21 6x + 4y = 104 x + y = 21 You sold 10 adult tickets and 11 child tickets. y = 21 – x 6x + 4(21 – x) = 104 6x + 84 – 4x = 104 2x + 84 = x = 20 x = 10 x + y = y = 21 y = 11

Systems of equations: State your solution: Define variables: X = X = Y = Y = Solve the systems SHOWING ALL STEPS: HOW TO SOLVE A SYSTEMS WORD PROBLEM: X = # of chicken dinners Y = # of steak dinners 14.8x + 17y = 91 x + y = x + 17y = 91 x + y = 6 Five people ordered chicken and 1 person ordered steak. y = 6 – x 14.8x + 17(6 – x) = x – 17x = x = x = -11 x = 5 x + y = y = 6 y = 1

Systems of equations: State your solution: Define variables: X = X = Y = Y = Solve the systems SHOWING ALL STEPS: HOW TO SOLVE A SYSTEMS WORD PROBLEM: X = cost of pizza Y = cost of breadsticks 3x + 2y = x + 3y = 23 3x + 2y = x + 3y = 23 Pizza costs $8.50 each and breadsticks cost $2.00 each. -6x – 4y = -59 6x + 9y = 69 5y = 10 y = 2 2x + 3y = 23 2x + 6 = 23 2x = 17 x = 8.50 One equation for each person’s order