Answer:91 Sodas and 55 hot dogs were sold.
Step-by-step explanation:
Let x represent the number of Sodas that were sold at the basketball game.
Let y represent the number of hot dogs that were sold at the basketball game.
At the basketball game a vendor sold a combined total of 146 sodas and hotdogs. This means that
x + y = 146 - - - - - - - - - - - - - - -1
The number of Sodas was 36 more than the number of hotdogs sold. This means that
x = y + 36
Substituting x = y + 36 into equation 1, it becomes
y + 36 + y = 146
2y + 36 = 146
2y = 146 - 36 = 110
y = 110/2 = 55
x = y + 36 = 55 + 36
x = 91
