Question

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 includes 6 hot dogs and 3 sodas for $15. Let h
ℎ
represent the cost of a hot dog, and let s
𝑠
represent the cost of a soda. Write the pair of linear equations that model this situation.

Answer 1

Let h = cost of a hot dog and s = cost of a soda. The two equations are

4h + 2s = 10
6h + 3s = 15

(Each can be simplified; both reduce to 2h + s = 5, so the two equations are equivalent.)