Real-World Systems of Equations Practice

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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

1 answer

To model the situation described, we can set up two equations based on the combinations of hot dogs and sodas.

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

For Combination 1 (4 hot dogs and 2 sodas for $10): \[ 4h + 2s = 10 \]

For Combination 2 (6 hot dogs and 3 sodas for $15): \[ 6h + 3s = 15 \]

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

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