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 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.(1 point)
Equation for Combination 1: ___ = 10
Equation for Combination 2: ___ = 15
Equation for Combination 1: 4h + 2s = 10
Equation for Combination 2: 6h + 3s = 15
Equation for Combination 1: 4h + 2s = 10
Equation for Combination 2: 6h + 3s = 15
To write the pair of linear equations that model this situation, we need to assign variables to the unknowns in the problem. Let h represent the cost of a hot dog, and let s represent the cost of a soda.
Combination 1 includes 4 hot dogs and 2 sodas for $10. The total cost is the sum of the cost of the hot dogs and sodas. We can write the equation as follows:
4h + 2s = 10
Combination 2 includes 6 hot dogs and 3 sodas for $15. Similarly, we can write the equation for this combination as:
6h + 3s = 15
Therefore, the pair of linear equations that model this situation are:
Equation for Combination 1: 4h + 2s = 10
Equation for Combination 2: 6h + 3s = 15