SOLUTION: At a basketball game, a vender sold a combined total of 184 sodas and hot dogs. The number of sodas sold was 50 more than the number of hot dogs sold. Find the number of sodas sold

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: At a basketball game, a vender sold a combined total of 184 sodas and hot dogs. The number of sodas sold was 50 more than the number of hot dogs sold. Find the number of sodas sold      Log On


   

Question 1154003: At a basketball game, a vender sold a combined total of 184 sodas and hot dogs. The number of sodas sold was 50 more than the number of hot dogs sold. Find the number of sodas sold and the number of hot dogs sold.
Found 2 solutions by MathLover1, josgarithmetic:
Answer by MathLover1(20850) About Me  (Show Source):
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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%2By=184.........eq.1
if the number of sodas sold was 50+more than the number of hot dogs sold, we have
x=y%2B50.....eq.2-> substitute in eq.1
y%2B50%2By=184.........eq.1
2y=184-50
2y=134
y=134%2F2
y=67
go to
x=y%2B50.....eq.2-> substitute y
x=67%2B50
x=117
the number of sodas sold is 117 and the number of hot dogs sold is 67


Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
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,...combined total of 184 sodas and hot dogs. The number of sodas sold was 50 more than the number of hot dogs sold.
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h , hotdogs
50+h, sodas


%2850%2Bh%29%2Bh=184
2h%2B50=184
2h=134
highlight%28h=67%29---------hot dogs
117---------------sodas