AA basketball game, a vendor sold aa combined total of 149 sodas and hotdogs. The number of sodas was 55 more than the number of hotdogs sold. find the number of sodas sold and the number of hot dogs sold

Let's denote the number of hotdogs sold as x. Since the number of sodas sold is 55 more than the number of hotdogs sold, we can express the number of sodas as x + 55. Given that the total number of sodas and hotdogs sold is 149, we can set up the equation: x + (x + 55) = 149 Solving this equation: 2x + 55 = 149 2x = 149 - 55 2x = 94 x = 47 So, 47 hotdogs were sold. To find the number of sodas sold, we can substitute x=47 into x + 55 Number of sodas = 47 + 55 = 102 Therefore, 102 sodas were sold.