Real-World Systems of Equations Practice

Question

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3 of 53 of 5 Items

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
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

Answer 1

To set up the equations based on the information provided, we can use the following format:

Let \( h \) represent the cost of a hot dog and \( s \) represent the cost of a soda.

Combination 1:

The first combination includes 4 hot dogs and 2 sodas for $10. This can be modeled by the equation: \[ 4h + 2s = 10 \]

Combination 2:

The second combination includes 6 hot dogs and 3 sodas for $15. This can be modeled by the equation: \[ 6h + 3s = 15 \]

Now, we can write the pair of linear equations:

Equation for Combination 1: \[ 4h + 2s = 10 \]

Equation for Combination 2: \[ 6h + 3s = 15 \]