there are 6 times as many dogs as cats. if the total of number dogs and cats is 21, how many dogs are there?
Let x = the number of cats. Solve for x.
x + 6x = 21
x=3
3 cats 18 dogs
x+6x = 21
7x = 21
= 21
____ = 3
7
To find the number of dogs, we first need to set up a system of equations based on the information given. Let's assume the number of cats is x.
According to the problem, there are 6 times as many dogs as cats. So, the number of dogs would be 6x.
The total number of dogs and cats is given as 21. Therefore, we can create the equation:
x + 6x = 21
Combining like terms, we have:
7x = 21
To solve for x, divide both sides of the equation by 7:
x = 21 / 7
Simplifying the equation, we find:
x = 3
So, there are 3 cats.
Now, to find the number of dogs, we substitute the value of x back into the equation:
Number of dogs = 6 * x = 6 * 3 = 18
Therefore, there are 18 dogs.