Question

There are 73 cats and 54 dogs currently at the ARL. If this ratio holds, how many of the 1380 total dogs and cats in the state would we expect to be cats?

A) 540 cats
B) 730 cats
C) 810 cats
D) 920 cats

Answer 1

The ratio of cats to the total number of animals at the ARL is used to calculate the expected number of cats out of 1380 animals, resulting in an approximation of 793 cats.

Step-by-step explanation:

To solve this problem, we should first determine the ratio of cats to the total number of animals (cats and dogs) at the ARL. Then we can use this ratio to find out how many of the 1380 total dogs and cats in the state would be cats.

The total number of animals at the ARL is 73 cats + 54 dogs = 127 animals. The ratio of cats to total animals is 73 cats / 127 total animals.

Now, if we have 1380 total animals in the state, we need to multiply this number by the ratio of cats to find the expected number of cats:

1. Calculate the ratio of cats to total animals: 73 cats / 127 total animals = 0.5748 (rounded to four decimal places).
2. Multiply this ratio by the total number of animals in the state: 0.5748 * 1380 = 793.224, which we round to the nearest whole number, 793.

Therefore, we would expect approximately 793 cats out of the 1380 total dogs and cats in the state. This number is closest to option C (810 cats), which is the answer we would choose from the given options.