A music teacher charges $20 an hour but is willing to give a lesson on a different instrument for free to those students who are studying piano. He has 14 piano students and 11 saxophone students. He wants to know if he earns $500 on those days he gives lessons to both groups? 1. Draw a rectangle to represent the universal set or all students in the class.
2. Make a circle inside the rectangle to represent the fourteen students in the class who take piano. The circle is R.
3. Draw another circle that partly overlaps circle R to represent the eleven students who play the saxophone. The circle is S. All of circle S is eleven.
4.The Venn diagram shows these groups overlap, and we need to know how many students are in this subgroup.
If there are 4 students taking saxophone for free, then this overlap, T, equals 4.
Draw your Venn Diagram and use it to answer the following questions. Upload both your diagram and your answers.
How many students are in set R?
How many students in set R are not in S?
How many students are in set S?
How many total students are in R and S?
How many students are common to both R and S?
How much will the music teacher get for the piano students?
How much will the music teacher get for the saxophone students?