Final answer:
Berkeley can dance for 12 months with $835.
Step-by-step explanation:
To find out how many months Berkeley can dance for $835, we need to set up an equation using the given information. Let's represent the number of months Berkeley can dance for as 'x'.
The equation will be: $175 + $55x = $835
To solve for 'x', we need to isolate it on one side of the equation. We can do this by subtracting $175 from both sides: $55x = $835 - $175 = $660. Next, we divide both sides by $55 to solve for 'x': x = $660/$55 = 12.
Therefore, Berkeley can dance for 12 months with $835.