Question

Hi! I need help with this math word problem. Thank you so much

Answer 1

Let S be the number of sodas sold, and H the number of hot dogs. If a vendor sold a combined total of 220 sodas and hot dogs, then:

`S+H=220...(1)`

If the number of sodas sold was 46 more than the number of hot dogs sold, we have:

`S=46+H...(2)`

Using equation (2) in (1):

`\begin{gathered} 46+H+H=220 \\ 2H=220-46 \\ 2H=174 \\ \Rightarrow H=87 \end{gathered}`

Finally, using this result in (2):

`\begin{gathered} S=46+87 \\ \Rightarrow S=133 \end{gathered}`

Answer: The vendor sold 133 sodas and 87 hot dogs.