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
1 answer
To model the situation with the two combinations, we can set up the following equations based on the descriptions given:
For Combination 1, which includes 4 hot dogs and 2 sodas for $10: \[ 4h + 2s = 10 \]
For Combination 2, which includes 6 hot dogs and 3 sodas for $15: \[ 6h + 3s = 15 \]
Thus, the pair of linear equations that model this situation are:
Equation for Combination 1: \( 4h + 2s = 10 \)
Equation for Combination 2: \( 6h + 3s = 15 \)
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