At a football game, a vender sold a combined total of 117 sodas and hot dogs. The number of hot dogs

At a football game, a vender sold a combined total of 117 sodas and hot dogs. The number of hot dogs sold was 59 less than the number of sodas sold. Find the number of sodas sold and the number of hot dogs sold.

Let h = number of hot dogs and s = number of sodas. Set up our given equations:

1. h + s = 117
2. h = s - 59

Substitute (2) into (1)
(s - 59) + s = 117

Combine s terms
2s - 59 = 117

Using our equation solver, we find:
s = 88

Plug s = 88 into (2)
h = 88 - 59
h = 29