At a football game, a vender sold a combined total of 191 sodas and hot dogs. The number of hot dogs sold was 55 less than the number of sodas sold. Find the number of sodas sold and the number of hot dogs sold.
Number of sodas sold:
Number of hot dogs sold:
Let's assume the number of sodas sold as x.
Then the number of hot dogs sold is x-55.
The total number of sodas and hot dogs sold is x + (x-55) = 191
Combining like terms, we get 2x - 55 = 191
Adding 55 to both sides, we get 2x = 246
Dividing both sides by 2, we get x = 123.
So, the number of sodas sold is 123 and the number of hot dogs sold is 123 - 55 = 68.