Week 23 CMT Style Problem - 8th Grade

Venn Diagram

Use a Venn diagram to solve the following problem. Suppose the school decided to add the springtime sport of lacrosse to its soccer and basketball offerings for its 120 students.

A follow-up survey showed that: 35 played lacrosse, 70 played soccer, 40 played basketball, 20 played both soccer and basketball, 15 played both soccer and lacrosse, 15 played both basketball and lacrosse, and 10 played all three sports.

Using this data, draw a Venn diagram and answer the following questions:

• How many students played none of the three sports?
  
  
• What percent of the students played lacrosse as their only sport?
  
  
• How many students played both basketball and lacrosse, but not soccer?