Question

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Real-World Systems of Equations Practice
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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 model this situation using a system of equations, we can set up the following equations based on the information given.

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

**Combination 1:**
4 hot dogs and 2 sodas for $10 can be expressed as:
\[ 4h + 2s = 10 \]

**Combination 2:**
6 hot dogs and 3 sodas for $15 can be expressed as:
\[ 6h + 3s = 15 \]

Thus, the pair of linear equations that model this situation is:

1. \( 4h + 2s = 10 \)
2. \( 6h + 3s = 15 \)