Answer: There were 22 cats and 3 dogs at the shelter on Tuesday.
Step-by-step explanation:
Let be "c" the number of cats at the shelter on Tuesday and "d" the number of dogs at the shelter on Tuesday.
Set up a System of equations:
[tex]\left \{ {{c+d=25} \atop {4.5c+8d=123}} \right.[/tex]
You can use the Elimination Method to solve the System of equations.
The steps are:
1. Multiply the first equation by -8.
2. Add the equations.
3. Solve for the variable "c".
Then:
[tex]\left \{ {{-8c-8d=-200} \atop {4.5c+8d=123}} \right.\\....................\\-3.5c=-23\\\\c=22[/tex]
4. Substitute the value of "c" into the first original equation.
5. Solve for the variable "d" in order to find its value.
Then, you get:
[tex]22+d=25\\\\d=25-22\\\\d=3[/tex]
