CCGPS CA 1.4.1 Example 4

A school supply company produces wooden rulers and plastic rulers. The rulers must first be made, and then painted.
  • It takes 20 minutes to make a wooden ruler. It takes 15 minutes to make a plastic ruler. There is a maximum amount of 480 minutes per day set aside for making rulers.
  • It takes 5 minutes to paint a wooden ruler. It takes 2 minutes to paint a plastic ruler. There is a maximum amount of 180 minutes per day set aside for painting rulers.
Use the system of inequalities created in Example 3 to give a possible solution to the system.
  1. We know from this situation that you cannot produce a negative amount of rulers, so none of our solutions can be negative.
  2. In future lessons, we discuss more precise ways of determining the solution set to a system. For now, we can use our knowledge of numbers and ability to solve algebraic sentences to find possible solutions.
  3. Choose a value for w. Substitute the value for each occurrence of w in the system and solve for p.
  4. Interpret the results.
This applet is provided by Walch Education as supplemental material for the CCGPS Coordinate Algebra program. Visit www.walch.com for more information on our resources.