Question

There are 60 dogs at the doggie daycare, 1/3 of the dogs are large dogs, 1/6 of the dogs are medium dogs, and the rest are small dogs. How many small dogs are there? (HOW DID YOU GET YOUR ANSWER PLEASE SHOW YOUR WORK!!)

A. 1/17
B. 136
C. 30
D. 2/19
E. 25

Answer 1

The answer would be 30 small dogs

1/3×60 =20 = 20 large dogs

1/6×60=10= 10 medium dogs

20+10=30

60-30=30 = 30 small dogs

Answer 2

C. 30

Explanation:

First, you want to make the two fractions have the same denominator. This means, that instead of saying that 1/3 of the dogs being large, you would say that 2/6 of the dogs are large. Then, combine the amount of large and medium dogs, making large and medium dogs 3/6 of all the dogs. The amount of small dogs must complete this fraction, so now we know that 3/6 of the dogs are small. This means half of the dogs are small dogs. Divide 60 by 2, and you have your answer.