Question

At a football game, a vender sold a combined total of 172 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.Number of sodas sold:Number of hot dogs sold:

Answer 1

Let the number of sodas be s and the number of hotdogs be h

Since there are 172 sodas and hot dogs, then

Add s and h, then equate the sum by 172

`s+h=172\rightarrow(1)`

Since the number of sodas is three times the number of hot dogs

That means s is equal to 3h

`s=3h\rightarrow(2)`

Now, substitute s in equation (1) by equation (2)

`\begin{gathered} 3h+h=172 \\ 4h=172 \end{gathered}`

Divide both sides by 4

`\begin{gathered} (4h)/(4)=(172)/(4) \\ h=43 \end{gathered}`

Substitute h in equation 2 by 43

`\begin{gathered} s=3(43) \\ s=129 \end{gathered}`

The answer is

The number of sodas sold: 129

The number of hot dogs sold: 43