The highland booster club sells refreshments at the concession stand for local football games. Combination 1 includes 4 hot dogs and 2 sodas for $10. Combination 2 include 6 hot dogs and 3 sodas for $15. Let h represent the cost of a hot dog, and let s represent the cost of a soda. Write the pair of linear equations that model this situation

Answer 1

Let's assign variables to the unknowns, h and s, as follows:

h = cost of a hot dog
s = cost of a soda

We can now write the pair of linear equations based on the given information:

Combination 1:
4h + 2s = 10

Combination 2:
6h + 3s = 15

These equations represent the cost of hot dogs and sodas in the two combination deals offered by the Highland Booster Club at the concession stand.