At a football game, a vender sold a combined total of 208 sodas and hot dogs. The number of hot dogs sold was 44 less than the number of sodas sold. Find the number of sodas sold and the number of hot dogs sold.

the number of sodas sold and the number of hot dogs sold is 126 and 82 respectively

Step-by-step explanation:

Given that

The total of sodas and hot dogs sold is 208 sodas

And, the number of hot dogs was 44 less than the number of sodas sold

We need to find out the  number of sodas sold and the number of hot dogs sold

Let us assume the number of sodas sold be x

So, the number of hot dogs be x - 44

Now as per the given question

x + x - 44 = 208

2x = 208 + 44

2x =  252

x = 126

So, the number of hot dogs is

= 126 - 44

= 82

hence, the number of sodas sold and the number of hot dogs sold is 126 and 82 respectively