An animal shelter has two purebred Labradors among the 81 dogs available for adoption. It is also known that 7/9 of the dogs are mongrels. How many of the dogs are purebreds?

Question

An animal shelter has two purebred Labradors among the 81 dogs available for adoption. It is also known that 7/9 of the dogs are mongrels. How many of the dogs are purebreds? ​

Quizplus · Accepted Answer

We are told that 7/9 of the dogs are mongrels. This means that 2/9 of the dogs are purebreds (since the remaining fraction must be the purebred Labradors).

So we can set up a proportion:

2/9 = x/81

Where x is the number of purebred dogs.

Cross-multiplying, we get:

9x = 2 * 81

Simplifying, we get:

9x = 162

x = 18

Therefore, there are 18 purebred dogs available for adoption. So the answer is D) 18 dogs.

An Animal Shelter Has Two Purebred Labradors Among the 81