2001 CEMC Gauss (Grade 8) Problems/Problem 11
Problem
In a class of 
students, each student has at most one pet. Three-fifths of the students have cats, 
have dogs, three have elephants, and the other students have no pets. How many students have no pets?
Solution 1
Because each student has at most one pet, we know that there cannot be any students with multiple pets. For example, a student in the class that owns a cat cannot own an elephant or a dog. We can also let 
be the number of students that don't own pets.
of the students own cats, so 
own cats.
of the students own dogs, so 
own dogs.
We can now set up an equation involving and the other values:
~anabel.disher
| 2001 CEMC Gauss (Grade 8) (Problems • Answer Key • Resources) | ||
| Preceded by Problem 10 |
Followed by Problem 12 | |
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| CEMC Gauss (Grade 8) | ||
