OBJECTIVE: Students will be able to write ______of equations from a verbal description.
You are a farmer with 20 animals that are made up of cows and chickens. All of the animals have 48 legs all together. How many cows and chickens do you have? / Solve / Main Idea
Key Concepts on Systems
A system of equationsis ______equations that we solve at the same time.They can have one solution, no solution, or many solutions.
The solution occurs when both conditions are met. For example: in the system of equations above there had to be ______animals AND ______legs.
Quantity & Value System Problems
Ex 1) To get into an outdoor 2 Chainz concert, it costs $40 for children and $60 for adults.2 Chainz’s concert made $15,900 after admitting 321 people. Write a system of equations to determine the how many adults, a, and children, c, went to the concert?
Define variables
Let a = ______
c = ______
Equation 1:
Equation 2: / #2) A shelf is full of 1 and 2 inch thick books. The entire stack has 35 books and is 50 inches thick. Write a system of equations to determine the number of 1 inch books, s, and 2 inch thick books, l.
Let s = ______
l = ______
Equation 1:
Equation 2:
1B. Determine if the following solutions are reasonable. Explain why or why not:
A. 300 children and 51 adults: ______
B. 153 children and 168 adults: ______
C. 168 children and 153 adults: ______/ 2B) Determine if the following solutions are reasonable: Explain why or why not:
A) 20 1-inch and 30 2-inch books: ______
B). 30 1-inch and 5 2-inch books: ______
c.) 20 1-inch and 15 2-inch books: ______
Independent Practice Complete at least 4 questions correctly.
#1) Coach G is selling tickets to the softball season opening game and collects a total of $104. Admission prices are $6 for adults and $4 for students. He sold 21 tickets. Write a system of equations that could be used to find a, the number of adult tickets sold, and s, the number of student tickets purchased.Let a = ______
s = ______
Equation 1:
Equation 2: / #2) Kristin spent $131 on shirts. Fancy shirts cost $28 and plain shirts cost $15. If she bought a total of 7, can you write a system of equations to determine how many of each shirt she bought?
#3) Determine if the following solution is reasonable or not; explain your answer!
2 fancy and 5 plain shirts: ______
#4)A restaurant sells large burgers for $2, while small ones only cost $1. On a single day, the restaurant sells 52 burgers for a total of $64. Write a system of equations that could be used to figure out exactly the number of small, s, and large, l, hamburgers.
#5) Is 24 large burgers and 16 small ones a reasonable solution? Why? ______/ #6) Mr. Hearne empties out his pockets at the end of day and takes out a bunch of nickels and dimes. He has $1.05 in change in his pocket and a total of 15 coins. Write a system of equations that could be used to find n, the number of nickels he has, and d, the number of dimes.
#7) Is it reasonable for him to have 14 nickels and one dime? Why? ______
#8) RedBox rents video games for $2 and DVDs for $1. A total of 35 video games and DVDs were rented from a Redbox on a day. All rentals totaled $50. Write an equation to represent the scenario with l representing the number of DVDs rented and s representing the number of video games rented. / #9) Nichole is reading 100 books this year. The larger books have about 300 pages but the smaller books only have around 75 pages. Altogether Nichole will read 21,450 pages! Write a system of equations that could be used to figure out exactly the number of small, s, and large, l, books there are.
Isabel and Miaya sold 95 chips and hot dogs at the Mavericks game to raise money for softball. Chips cost $5 each and hot dogs cost $10 each. The girls made a total of $725 during the game. Write a system of equations to determine the number of chips, x, and hot dogs, y, sold.
Let a = ______
c = ______
Equation 1:
Equation 2: