At a football game, a vender sold a combined total of 232sodas and hot dogs. The number of hot dogs sold was 46 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 x be the number of sodas sold.
Then the number of hot dogs sold would be x - 46.
Thus, the total number of sodas and hot dogs sold is x + x - 46 = 2x - 46.
Since the total number of sodas and hot dogs sold is 232, we have:
2x - 46 = 232
2x = 278
x = 139
So, the number of sodas sold is 139, and the number of hot dogs sold is 139 - 46 = 93.