The Highland booster club sells refreshments at the concession stand for local football games. Combination one includes four hotdogs and two sodas for $10. Combination two includes six hotdogs and three sodas for $15. Let h represent the cost of a hotdog and let s represent the cost of a soda. Write the pair of linear equations that model this situation.
Let's represent the number of combinations one and two sold as $x$ and $y$, respectively.
From the given information, we can create the following equations:
For combination one:
4 hotdogs and 2 sodas cost $10.
Therefore, we have the equation: $4h + 2s = 10$.
For combination two:
6 hotdogs and 3 sodas cost $15.
Therefore, we have the equation: $6h + 3s = 15$.
Hence, the pair of linear equations that models this situation is:
$\begin{cases} 4h + 2s = 10 \\ 6h + 3s = 15 \end{cases}$