At a football game, a vender sold a combined total 210 of sodas and hot dogs. The number of sodas sold was 44 more than the number of hot dogs sold. Find the number of sodas sold and the number of hot dogs sold.

(h+44)+h = 210

h = 83

To solve this problem, let's set up a system of equations.

Let's define the number of sodas sold as "s" and the number of hot dogs sold as "h".

According to the problem, we have two pieces of information:

1. The total number of sodas and hot dogs sold is 210: s + h = 210
2. The number of sodas sold is 44 more than the number of hot dogs sold: s = h + 44

We can use these two equations to solve for the values of s and h.

First, we can substitute the second equation into the first equation:

(h + 44) + h = 210

Now, we can simplify and solve for h:

2h + 44 = 210
2h = 210 - 44
2h = 166
h = 166/2
h = 83

Now that we have the value of h, we can substitute it back into the second equation to find the value of s:

s = h + 44
s = 83 + 44
s = 127

Therefore, the number of sodas sold is 127 and the number of hot dogs sold is 83.