A farmer plants corn ($c$), wheat ($w$), and soybeans ($s$) on 500 acres. Planting costs are 100, 120, and 150 dollars per acre, respectively, for a total cost of 60,000 dollars. He planted twice as many acres of corn as wheat. Which augmented matrix represents this system?

$\left[\begin{array}{ccc|c} 1 & 1 & 1 & 500 \\ 100 & 120 & 150 & 60000 \\ 1 & -2 & 0 & 0 \end{array}\right]$

$\left[\begin{array}{ccc|c} 1 & 1 & 1 & 500 \\ 100 & 120 & 150 & 60000 \\ 2 & -1 & 0 & 0 \end{array}\right]$

$\left[\begin{array}{ccc|c} 1 & 1 & 1 & 60000 \\ 100 & 120 & 150 & 500 \\ 1 & -2 & 0 & 0 \end{array}\right]$

$\left[\begin{array}{ccc|c} 1 & 1 & 1 & 500 \\ 100 & 120 & 150 & 60000 \\ 1 & 2 & 0 & 0 \end{array}\right]$

Solving Linear Systems Using Matrices Practice — Grade 11 math