at the animal shelter , one third ofthe animals are dogs , 1/6 are cats,and 19 arethe other animals.how many animals are at the shelter?
1/6 are cats, 2/6 (1/3) are dogs, and that leaves 3/6 (1/2) as other animals. Try to go from there. We will check your answer.
38 animals
To find the total number of animals at the shelter, we need to add the fractions representing the dogs and cats, and then add the number of other animals given.
Let's calculate each fraction separately:
One-third of the animals are dogs: 1/3 * Total number of animals
One-sixth of the animals are cats: 1/6 * Total number of animals
Given that there are 19 other animals, we don't need to calculate a fraction for them. We can directly add 19 to the total.
To find the answer, we can create an equation with these fractions and the given information:
1/3 * Total number of animals + 1/6 * Total number of animals + 19 = Total number of animals
Now, let's solve the equation:
Multiply both fractions by the common denominator, which is 6:
2/6 * Total number of animals + 1/6 * Total number of animals + 19 = Total number of animals
Adding the fractions:
3/6 * Total number of animals + 19 = Total number of animals
Simplifying the fractions:
1/2 * Total number of animals + 19 = Total number of animals
Subtracting 1/2 * Total number of animals from both sides of the equation:
19 = 1/2 * Total number of animals
To isolate the Total number of animals, we can multiply both sides by 2:
2 * 19 = Total number of animals
38 = Total number of animals
Therefore, there are 38 animals at the animal shelter.