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
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.
Let's start by defining variables for the cost of a hot dog (h) and the cost of a soda (s).
We're given the following information:
Combination 1: 4 hot dogs and 2 sodas for $10.
Combination 2: 6 hot dogs and 3 sodas for $15.
Based on this information, we can write two equations:
Equation 1: 4h + 2s = 10 (representing Combination 1)
Equation 2: 6h + 3s = 15 (representing Combination 2)
These two equations model the cost of the combinations in terms of the cost of a hot dog (h) and the cost of a soda (s).
To write the pair of linear equations that model this situation, let's first define the variables:
Let h represent the cost of a hot dog.
Let s represent the cost of a soda.
Now let's translate the given information into equations:
Combination 1 includes 4 hot dogs and 2 sodas for $10:
4h + 2s = 10
Combination 2 includes 6 hot dogs and 3 sodas for $15:
6h + 3s = 15
These two equations represent the cost relationships between the number of hot dogs, sodas, and the total cost for the two combinations.