Question 1154003

let the number of sodas be {{{x}}} and the number of hot dogs {{{y}}}

if vender sold a combined total of {{{184}}} sodas and hot dogs, we have

{{{x+y=184}}}.........eq.1

if the number of sodas sold was {{{50 }}}more than the number of hot dogs sold, we have

{{{x=y+50}}}.....eq.2-> substitute in eq.1

{{{y+50+y=184}}}.........eq.1

{{{2y=184-50}}}

{{{2y=134}}}

{{{y=134/2}}}

{{{y=67}}}

go to

{{{x=y+50}}}.....eq.2-> substitute {{{y}}}

{{{x=67+50}}}

{{{x=117}}}

 the number of sodas sold is {{{117}}} and the number of hot dogs sold is {{{67}}}