Algebra 2 3-6 Problem Solving: Using Two Systems.

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Presentation transcript:

Algebra Problem Solving: Using Two Systems

3-6 Problem Solving: Using Systems Warmup: Tickets for the Homecoming dance cost $20 for a single ticket or $35 for a couple. Ticket sales totaled $2280, and 128 people attended. How many of each type were sold?

3-6 Problem Solving: Using Systems As you have probably surmised, there are times when solving problems in two unknowns is easiest using a system of equations. In these problems we are setting up and solving a system of equations, as opposed to a single equation.

3-6 Problem Solving: Using Systems Recall our problem solving plan: 1. Read the problem carefully. Decide what is given and what is asked for. Draw a diagram or a sketch. 2. Choose a variable (or two) for the unknowns sought. Label your diagram or create a table.

3-6 Problem Solving: Using Systems Cont. 3. Reread the problem. Write an equation (or two equations) that represent the relationship among the numbers in the prob. 4. Solve the equation (or system) to find the required numbers. 5. Check your results with the original statement of the problem. DO THEY MAKE SENSE? State the answer to the problem.

3-6 Problem Solving: Using Systems Two isoscoles triangles have the same base length. The legs of one of the triangles are twice as long as the legs of the other. Find the lengths of the sides of the triangles if their perimeters are 23cm and 41cm.

3-6 Problem Solving: Using Systems A grain-storage warehouse has a total of 30 bins. Some hold 20 tons of grain each, and the rest hold 15 tons each. How many of each type of bin are their if the capacity of the warehouse is 510 tons?

3-6 Problem Solving: Using Systems More practice.

3-6 Problem Solving: Using Systems Homework

3-6 Problem Solving: Using Systems