Grades 3-5 Math Problem Solving in Action_ Getting Students to Love Word Problems

96 ◆ Reasoning About Problems

Explain Your Thinking

Well, of the 16 students with cats, 7 have both, so that means 9 have cats
only. In terms of the dogs, 28 students had dogs but 7 had both, so that
means 21 had only dogs. Then, 21 + 9 + 7 is a total of 37 students, so that
means 3 students had no pets.

Example 2:

9 cats7 both 21 dogs

3 students have no pets

Figure 6.13 Venn Diagram

Figure 6. 14 Venn Diagram

Kate made up a Venn diagram puzzle. She says there is a way to sort

these names. Can you find a way to sort them using the 2-circle Venn

diagram?

Mary Tom Lucy Mike

Macy Marvin Brenda Ned

Mark Keith Amy Zac