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The walker and Baldwin families ordered lunch at the refreshment stand at the basketball game. The walker family ordered 4 hot dogs and 3 cheeseburgers and paid 23.75. The Baldwin family ordered 6 hots dogs and 2 cheeseburgers and payed 25. Write a system of equations using h for hot dogs and c for cheeseburgers.

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To represent the situation described, we can set up a system of equations based on the orders from the Walker and Baldwin families.

Let:

  • \( h \) = the price of one hot dog
  • \( c \) = the price of one cheeseburger

From the information provided, we have the following two equations:

  1. The Walker family ordered 4 hot dogs and 3 cheeseburgers for a total of $23.75: \[ 4h + 3c = 23.75 \]

  2. The Baldwin family ordered 6 hot dogs and 2 cheeseburgers for a total of $25: \[ 6h + 2c = 25 \]

Thus, the system of equations is: \[ \begin{align*} 4h + 3c &= 23.75 \quad \text{(1)} \ 6h + 2c &= 25 \quad \text{(2)} \end{align*} \]