3 + 2 = 5
30 / 5 = 6
dogs ... 3 * 6 = ?
cats ... 2 * 6 = ?
How many dogs are at the shelter if there is a total of 30 animals?
30 / 5 = 6
dogs ... 3 * 6 = ?
cats ... 2 * 6 = ?
In a ratio of 3 to 2, there are a total of 5 parts. So, each part represents 30 animals divided by 5 parts, which equals 6 animals per part.
Therefore, to find the number of dogs, we multiply the number of parts representing dogs (3) by the number of animals per part (6):
3 * 6 = 18
So, there are 18 dogs at the animal shelter.
The ratio of dogs to cats is given as 3 to 2, which means there are 3 parts representing dogs and 2 parts representing cats. Since the total ratio is 3 + 2 = 5 parts, we can conclude that 3/5 of the animals are dogs.
Now, let's calculate the number of dogs based on this proportion.
If there are 30 animals in total, we'll multiply this number by the fraction representing the dogs' share:
(Number of dogs) = (Total number of animals) x (Fraction representing dogs)
(Number of dogs) = 30 x (3/5)
(Number of dogs) = 90/5
(Number of dogs) = 18
Therefore, there are 18 dogs at the animal shelter.