Question

The table below represents the snacks that Sidney and Erica purchased at the movies last month. Write a system of equations to determine the price of each candy and each drink.

Answer 1

Case: System of equations

Given: A table of value of snacks and drinks for Sidney and Erica

Required: Write a system of equations to determine the price of each candy and each drink.

Method:

Step 1: Assume the price of snacks be represented by s and drinks by d

Step 2: Equation for Sidney

`\begin{gathered} 2s+1d=13.50 \\ 2s+d=13.50.........equation(1) \end{gathered}`

Step 3: Equation for Erica

`\begin{gathered} 3s+1d=12.85 \\ 3s+d=12.85.......equatiion(2) \end{gathered}`

Final answer:

The system of equations is:

`\begin{gathered} 2s+d=13.50 \\ 3s+d=12.85 \end{gathered}`