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Minor Summation: Solving Systems using Matrices (20 points) Name: period: Set up matrices and solve using the graphing calculator. Do not give answers as decimals. 2. 3. Set up equations, then matrices, and solve using the graphing calculator. Be sure to define variables! 4. Suppose the movie theater you work at sells popcorn in three different sizes. A small costs \$2, a medium costs \$5, and a large costs \$10. On your shift, you sold 250 total containers of popcorn and brought in \$1726. You sold twice as many large containers as small ones.

A.

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How many of each popcorn size did you sell? B. How much money did you bring in from selling small size containers? 5. One canned juice drink is 15% orange juice and another is 5% orange juice. How many liters of each should be mixed together to get 10 liter solution that is 10% orange juice? 6. A company sells three types of movie gift baskets. A basic basket with 2 movie passes and 1 package of microware popcorn costs \$15. 50. A medium basket with 2 movie passes, 2 packages of popcorn, and 1 DVD costs .

A super basket with 4 movie passes, 3 packages of popcorn, and 2 DVD’s costs \$72. 0.

Carrie paid \$24. 95 for eight rides for the timid, seven rides for the adventurous, and ten rides for the thrill seekers. A. Set up the problem, define your variables and determine how much each type of ride costs. B. What is the total cost of a 30-ride ticket book (free admission plus 10 tickets for each type of ride at the calculated rate)? Show work. C. Which of the three riders would have been better off to have purchased a ticket book? Show all your work to back up your answers.

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