Let,
t = Turkey burgers
v = veggie burgers
t + v = 50
$2.00 per Turkey burger
$1.50 per Veggie burger
2t + 1.5v = 90
Now we have a system of two equations with two unknowns
[tex]\begin{gathered} t+v=50 \\ 2t+1.5v=90 \end{gathered}[/tex]First equation
[tex]t=50-v[/tex][tex]\begin{gathered} 2(50-v)+1.5v=90 \\ 100-2v+1.5v=90 \\ -2v+1.5v=-100+90 \\ -0.5v=-10 \\ v=\frac{10}{0.5} \\ v=20 \end{gathered}[/tex]20 Veggie burgers
[tex]\begin{gathered} t=50-v \\ t=50-20 \\ t=30 \end{gathered}[/tex]30 Turkey burgers
