there are 6 times as many dogs as cats. if the total number of cats and dogs 21 how many dogs are there?
3
6
15
18
To find the number of dogs, we need to set up a system of equations based on the information provided. Let's assign variables to represent the number of cats and dogs.
Let's say the number of cats is represented by 'x'. Therefore, the number of dogs would be 6 times x, or 6x.
According to the problem, the total number of cats and dogs is 21. So the equation can be written as:
x + 6x = 21
Now we can simplify the equation:
7x = 21
To solve for x, we need to isolate x by dividing both sides of the equation by 7:
x = 21 / 7
Simplifying further:
x = 3
So there are 3 cats. Since the number of dogs is 6 times the number of cats, we can calculate the number of dogs:
Number of dogs = 6 * Number of cats
Number of dogs = 6 * 3
Number of dogs = 18
Therefore, there are 18 dogs.
c + 6c = 21
7c = 21
c = 3 cats