Final answer:
To find the number of cats and dogs available for adoption at the pet store, we can set up a system of equations. Solving the system of equations, we find that there are 2 cats and 5 dogs available for adoption.
Step-by-step explanation:
To solve this problem, we can set up a system of equations based on the given information. Let x represent the number of cats and y represent the number of dogs. We are given two pieces of information: there are a total of 7 cats and dogs available for adoption, and there is one more than twice as many dogs as cats.
We can set up the following equations:
x + y = 7
y = 2x + 1
Substituting the second equation into the first equation:
x + (2x + 1) = 7
Combining like terms:
3x + 1 = 7
Subtracting 1 from both sides:
3x = 6
Dividing both sides by 3:
x = 2
Now, we can substitute the value of x back into one of the equations to find the value of y:
y = 2(2) + 1 = 5
Therefore, there are 2 cats and 5 dogs available for adoption at the pet store.