Day 13 – Introduction (or review) of Systems

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Presentation transcript:

Day 13 – Introduction (or review) of Systems

The Candy Problem Daniel bought 1 pound of jelly beans and 2 pounds of chocolates for $2.00. A week later, he bought 4 pounds of caramels and 1 pound of jelly beans, paying $3.00. The next week, he bought 3 pounds of licorice, 1 pound of jelly beans, and 1 pound of caramels for $1.50. How much would he have to pay for his next trip to the candy store if he bought 1 pound of each of the 4 kinds of candy?

The Candy Problem What are the unknowns in the problem? How many are there? Assign a variable to represent each unknown.

There are 4 unknowns in this problem. The Candy Problem What are the unknowns in the problem? How many are there? Assign a variable to represent each unknown. j = jelly beans c = chocolates k = caramels l = licorice There are 4 unknowns in this problem.

The Candy Problem 2. Write equations based on the given information using the variables you chose. How many equations did you write?

The Candy Problem 2. Write equations based on the given information using the variables you chose. How many equations did you write?

The Candy Problem 3. What is the question asking you to find? Express this both in a sentence and in a mathematical equation.

The Candy Problem 3. What is the question asking you to find? Express this both in a sentence and in a mathematical equation.

The Candy Problem 4. What approach could you take to solving this problem? What are some of the obstacles you anticipate?

The Candy Problem 4. What approach could you take to solving this problem? What are some of the obstacles you anticipate? The obstacle is having 4 unknowns with only 3 equations. This problem does not ask for the solution to the system of equations. It is impossible to solve for each of the unknowns, and therefore impossible to find the solution to the system.

The Candy Problem 5. Solve the problem. Be prepared to share your solution and articulate the mathematics you used. There are multiple approaches to this problem but only one correct solution.

The Candy Problem Continued on next slide…

The Candy Problem

The Candy Problem – Exit Slip What information would you need to solve for the individual price of the 4 kinds of candy?