Final answer:
To find the number of sodas and hot dogs sold at a hockey game, we can use a system of equations.
Step-by-step explanation:
To solve this problem, we can use a system of equations. Let's say the number of hot dogs sold is x.
Since the number of sodas sold is three times the number of hot dogs sold, the number of sodas sold would be 3x.
We know that the combined total of sodas and hot dogs sold is 204.
So we can set up the equation x + 3x = 204. Simplifying this equation, we get 4x = 204.
Dividing both sides by 4, we find that x = 51.
Therefore, 51 hot dogs were sold and 3 times that, or 153 sodas were sold.