At the animal shelter, 1/3 of the animals are dogs, 2/12 are cats, and 19 are other animals. How many animals are at the shelter?
is the answer 22??
help me please
let the total number of animals be x
x/3 + 2x/12 + 19 = x
x/3 + x/6 + 19 = x
multiply by 6
2x + x + 114 = 6x
114 = 3x
x = 38
so number of dogs = 38/3 = not a whole number,
neither is 38/6 for number of cats
something is wrong with your question.
I have a suspicion it has to do with the 2/12.
check your typing.
To solve this problem, we need to add up the fractions representing the animals at the shelter.
Let's start by finding the fraction of dogs. We are told that 1/3 of the animals are dogs, so if we assume that the total number of animals is represented by x, we can write the equation:
1/3 * x = number of dogs
Next, we need to find the fraction of cats. We are told that 2/12 of the animals are cats, so we can write the equation:
2/12 * x = number of cats
Finally, we are told that there are 19 other animals at the shelter.
To find the total number of animals at the shelter, we need to add up the number of dogs, cats, and other animals:
Number of animals = number of dogs + number of cats + number of other animals
Now, let's solve the equations to find the number of animals at the shelter:
1/3 * x + 2/12 * x + 19 = x
To solve this equation, we need to simplify the fractions:
4/12 * x + 2/12 * x + 19 = x
6/12 * x + 19 = x
Multiplying through by 12 to eliminate the fractions:
6x + 228 = 12x
Rearranging the equation:
6x - 12x = -228
-6x = -228
Dividing both sides by -6 to solve for x:
x = -228 / -6
x = 38
So, there are 38 animals at the shelter.