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Real World Systems of Equations Word Problems Project(List of problems you may choose from for the project)A1: There are 13 animals in the barn. Some are chickens and some are pigs. There are 40 legs in all. Write a systems of equation to represent his situation. How many of each animal are there?A2: Mr. Thomas cooked 45 hamburgers and hot dogs at a cookout. He cooked twice as many hot dogs as hamburgers. Write a systems of equations to represent this equation. How many hamburgers were cooked? How many hot dogs were cooked?A3: Fabulously Fit offers memberships for $35 per month plus a $50 enrollment fee. The Fitness Studio offers memberships for $40 per month plus $35 enrollment fee. Write a systems to represent this situation. In how many months will the fitness clubs cost the same? What will the cost be?A4: Ashlyn and Shelby are selling flower bulbs for a school fundraiser. Customers can buy bags of daffodil and tulip bulbs. Ashlyn sold 24 bags of daffodil bulbs and 12 bags of tulip bulbs for $384. Shelby sold 24 bags of daffodil bulbs and 8 bags of tulip bulbs for a total of $280. What is the cost of one bag of daffodil bulbs and one bag of tulip bulbs?B1: Sarah and Andres are each saving for new bikes. So far Sarah has $9 saved and can earn $6 per hour babysitting. Andres has $3 saved and can earn $9 per hour working in his family’s restaurant. Write a systems of equations to represent this equation. After how many hours of work will Sarah and Andres have saved the same amount? What will that amount be?B2: Brooke’s school is selling tickets to a spring musical. On the first day of ticket sales, the school sold 9 adult tickets and 3 child tickets for $75. On the second day, the school sold 16 adult tickets and 8 child tickets for $144. What is the price of an adult ticket and a child ticket?B3: A store sold 84 black and gray t-shirts. They sold 5 times as many black shirts as gray shirts. Write a systems of equations to represent this situation. How many black shirts were sold and how many gray shirts were sold?B4: A total of 75 cookies and cakes were donated for a bake sale to raise money for the football team. There were four times as many cookies donated as cakes. Write a systems of equations to represent this situation. How many cookies were sold? How many cakes were sold?C1 The length of the rectangle is 3 meters more than the width. The perimeter is 26 meters. Write and solve a systems of equations that represent the situation. What are the dimensions of the rectangle?C2: Creative Crafts gives scrapbooking lessons for $15 per hour plus $10 supply charge. Scrapbooks Incorporated gives lesson for $20 per hour with no additional charges. Write and solve a systems of equations for this situation. C3: Gaby bought 19 apples of 2 different varieties to make a pie. The total cost of the apples was $5.50. Granny Smith apples cost $.50 each and Gala apples cost $.25 each. How many of each type of apple did Gaby buy?C4: A video game service has a membership plan in which a person pays a membership fee of $20 plus $2.50 for each game rented. Non-members pay $5.00 for each game rented. How many games would a person need to rent to make the membership plan a better deal?D1: A farmhouse shelters 11 animals. Some are goats and some are ducks. All together there are 34 legs. How many of each animal are there?D2: A class of 195 students went on a field trip. They took 15 vehicles, some cars and some vans. Find the number of cars and the number of vans they took if each car holds 5 students and each van holds 15 students.D3: Ms. Baker bought 14 packages of red and green pens for a total of 72 pens. The red pens come in packages of 6 and the green pens come in packages of 4. Write and solve a system of equations that represents this situation.D4. One high speed internet provider has a $75 set up fee and cost $50 per month. Another provider has no set up fee and cost $70 per month. Write and solve a systems of equations to represent this situation. ................
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