Numbers of sodas sold and hot dogs sold

Question

At a baseball game, a vender sold a combined total of 231

 sodas and hot dogs. The number of sodas sold was two times the number of hot dogs sold. Find the number of sodas and the number of hot dogs sold.

Number of sodas sold:
Number of hot dogs sold:

Answer 1

We can solve this with a system of two equations. Let s be the number of sodas sold and h be the number of hot dogs sold. Then, we can make the following equations based on the given information:

s + h = 231

s = 2 * h

Now we can plug in 2 * h for s in the first equation and solve for h:

2 * h + h = 231

3 * h = 231

h = 77

Lastly, we can plug in 77 for h into our second equation and solve for s:

s = 2 * h

s = 2 * 77

s = 154

So the vendor sold 154 sodas and 77 hot dogs!