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 determine the cost of a hot dog (h) and the cost of a soda (s).
Equation for Combination 1:
To determine the equation for Combination 1, we can start by representing the cost of 4 hot dogs as 4h, and the cost of 2 sodas as 2s. The total cost of Combination 1 can then be represented as the sum of 4h and 2s. We know that the total cost of Combination 1 is $10, so we can write the equation as:
4h + 2s = 10
Equation for Combination 2:
Similarly, we can represent the cost of 6 hot dogs as 6h and the cost of 3 sodas as 3s. The total cost of Combination 2 can be represented as the sum of 6h and 3s. We know that the total cost of Combination 2 is $15, so we can write the equation 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