1. Our Algebra class votes on 2 types of cookies for a party, Oreos and Choco The number of Oreo boxes is 3 boxes less than twice the number of Chocolate c cookie boxes. The combined number of boxes is 15 total. a. Write a system to represent this situation. Define each variable that \( x \) is \( y \) is

To represent the situation with a system of equations, we need to define our variables and then formulate the equations based on the information given. ### Step 1: Define the Variables Let: - \( x \) = the number of boxes of Oreos - \( y \) = the number of boxes of Chocolate cookies ### Step 2: Write the Equations From the problem statement, we have two pieces of information: 1. The number of Oreo boxes is 3 boxes less than twice the number of Chocolate cookie boxes. This can be expressed as: \[ x = 2y - 3 \] 2. The combined number of boxes is 15 total. This can be expressed as: \[ x + y = 15 \] ### Step 3: System of Equations Now we can write the system of equations: \[ \begin{align*} 1. & \quad x = 2y - 3 \\ 2. & \quad x + y = 15 \end{align*} \] This system of equations represents the situation described in the problem.