Question

at an animal rescue, 80% of the animals are dogs and 20% of the animals are cats. if the average age of the dogs is 7 months and the average age of the cats is 3 months, what is the average age of all the animals?
3.8
5.0
5.6
6.2

Explanation:

Step1: Calculate the weighted contribution of dogs

The proportion of dogs is \(80\% = 0.8\), and their average age is \(7\) months. So the contribution of dogs to the overall average is \(0.8\times7\).

$$0.8\times7 = 5.6$$

Step2: Calculate the weighted contribution of cats

The proportion of cats is \(20\%=0.2\), and their average age is \(3\) months. So the contribution of cats to the overall average is \(0.2\times3\).

$$0.2\times3=0.6$$

Step3: Calculate the overall average age

Add the weighted contributions of dogs and cats.

$$5.6 + 0.6=6.2$$

Answer:

\(6.2\)