In a class of 25 students, each student has at most one pet. Three-fifths of the students have cats, $20 \%$ have dogs, three have elephants, and the other students have no pets. How many students have no pets?
(A) 5
(B) 4
(C) 3
(D) 2
(E) 1
In a class of 25 students, each student has at most one pet. Three-fifths of the students have cats, $20 \%$ have dogs, three have elephants, and the other students have no pets. How many students have no pets?
(A) 5
(B) 4
(C) 3
(D) 2
(E) 1

## Solution

Three-fifths of 25 is $\frac{3}{5} \times 25=15$, so 15 students have cats. Twenty percent of 25 is $\frac{20}{100} \times 25=\frac{1}{5} \times 25=5$, so 5 students have dogs. This tells us that $15+5+3=23$ students have pets. So there are 2 students without pets.

ANSwER: (D)