Question

At a local baseball game, the concession stand has two different meal choices. You can get 6 hotdogsand 4 drinks for $24.00 or you can get 3 hotdogs and 2 drinks for $12.00. If the price of hotdogs anddrinks is the same for each meal, find how much it costs for an individual hotdog and how much itcosts for an individual drink.$per hotdog.per drink.

Answer 1

Let the cost of 1 hotdog be x and 1 drink be y.

It is given that you can get 6 hotdogs and 4 drinks for $24.00 so it follows:

`6x+4y=24`

Reduce the equation to get:

`3x+2y=12\ldots(i)`

It is also given that the price of hot dogs and drinks is same for each meal.

`x=y`

Therefore from (i) it follows:

`\begin{gathered} 5x=12 \\ x=2.4 \end{gathered}`

Hence the cost are:

2.4$ per hotdog.

2.4$ per drink.