A vender sold a combined total of 224 sodas and hot dogs. The number of sodas sold was three times the number of hot dogs sold. Find the number of sodas and the number of hot dogs sold.

Question

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Answer 1

It’s actually even simpler to solve. If the number of sodas sold is 3 times the number of hot dogs, the total number of sales is 4 times the number of hot dogs. So divide the total, 224, by 4 and you have the number of hot dogs. Subtract that from 224, and you have the number of sodas.

Check your results by multiplying the hot dogs by 3.

Answer 2

# of sodas sold = s

# of hotdogs sold = h

224 sodas and hotdogs = s + h

3h = s

224 = h + s

Plug in one equation into the other one, like 3h = s into h + s

h + s = 224 and s = 3h so...

h + (3h) = 224

4h = 224

h = 224/4 = 56

56 hotdogs were sold

And since s = 3h...

The number of sodas sold is 3 times 56 = 168 sodas.

56 hotdogs, 168 sodas.

Let me know if you need more explanation or have any other questions.