At a baseball game, a vender sold a combined total of 243 sodas and hot dogs. The number of sodas sold was 37 more than the number of hot dogs sold. Find the number of sodas sold and the number of hot dogs sold.

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Answer:

140 sodas and 103 hotdogs

Step-by-step explanation:

x + (x + 37) = 243

Simplify the equation.

2x + 37 = 243

Move numbers to one side and x on the other.

2x = 243 - 37

Simplify the equation.

2x = 206

Divide each side by 2 to get the value of x.

x = 103

They sold a total of 103 hotdogs.

Now we have to find how many sodas were sold.

Soda = 103 + 37

Soda = 140

They sold 140 sodas.

Answer:

  • s = 140
  • h = 103

Step-by-step explanation:

  • s = soda
  • h = hot dogs
  • s + h = 243
  • s = h + 37
  • re arrange to do simultaneous equations
  • s + h = 243
  • s - h = 37
  • 2s = 280
  • s = 140
  • solve for h by substituting s back into one of the equations
  • s + h = 243
  • 140 + h = 243
  • h = 103
  • You can verify your solutions as below
  • s - h = 37
  • 140 - 103 = 37
  • 37 = 37
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