Question 954241
let x = # of hot dogs sold
let y = # of sodas sold
Now we can create an equation and plug {{{x}}} and {{{y}}} in for the # of hot dogs sold and the # of sodas sold:
{{{x+y=102}}}
{{{x=y-44}}}
Of course, there are 3 ways in which to solve a system of linear equations: graphing, substitution, and elimination. For this system, I will use elimination. To set this up, we will subtract y from both sides of the second equation:
{{{x-y=-44}}}
Now we can subtract the first equation from the second equation which gives us
{{{2y=146}}}
{{{y=73}}}
So 73 sodas were sold.
Plugging the 73 back into the first original equation, we get:
{{{x+73=102}}}
{{{x=29}}}
So 29 hot dogs were sold. 
At the football game, 73 sodas and 29 hot dogs were sold.