1. Lesson 5

1.8. Explore 4

Mathematics 20-1 Module 6

Module 6: Rational Expressions

 

Mixture Madness

 

This is a photo of two young ladies wearing lab coats and protective glasses. One woman holds a flask and a test tube containing coloured solutions. The other woman is recording information in her notebook.

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The third event at Super Race Day is Mixture Madness. Mixing items of two different concentrations can help create the perfect blend to suit your needs, whether you need motor oil and gasoline, trail mix, or ketchup and mustard.

 

In Mixture Madness team members combine ingredients to prepare mixtures containing a predetermined proportion of a specified ingredient. Contestants use tools to measure the mass and volume of the ingredients. Points are deducted according to the discrepancy between the obtained measure and the target measure. The winning team is the team with the fewest deductions.

Try This 4
  1. Launch Bleach Solution to experiment with different mixtures of concentrated bleach and water. Move the bleach slider to input a volume of bleach that is less than 10 L. Use the water slider to input a volume of water that is less than 100 L. The percentage solution that is created is shown above the container.

    This is a play button that opens Bleach Solution.
    c  GeoGebra  Creative Commons Attribution-Share Alike 3.0 or later
    Can you determine the rational expression that is used to compute the percentage concentration of the solution?

  2. Consider how much bleach should be added to 50 L of water in order to make a solution that is 10% bleach?

    1. Write a rational equation that can be used to solve the problem. Use the hints provided if you need help.

      hint hint hint

    2. Solve the equation.

    3. Use Bleach Solution to confirm your answer to 2b.

course folder Save your work in your course folder.

 

Share 2

 

Compare your solutions to Try This 4 with those of a classmate. Discuss the other strategies you have used or could use to solve mixture problems. Make any necessary revisions to your own work. If your classmate has a different strategy, copy his or her work into your own folder so that you will have an alternate solution to study.

 

course folder Save your work in your course folder.

 

Self-Check 3

 


textbook
Complete question 20 on page 350 in the textbook. Answer
The expression in Hint 1 is equal to the decimal equivalent of 10%.
The total volume of solution is equal to the volume of bleach plus the volume of water.
Remember that percentage concentration is given by