Question

solve by substitution You are planning a birthday party. You buy a total of 50 turkey burgers and veggie burgers for $90.00 . Yo pay $2.00 per Turkey burger and $1.50 per veggie burger. How many of each burger did you buy?*use verbal model to write a system of linear equations. Let "x" representthe number of turkey burgers and let "Y" represent the number of veggie burgers

Answer 1

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

`\begin{gathered} t+v=50 \\ 2t+1.5v=90 \end{gathered}`

First equation

`t=50-v`
`\begin{gathered} 2(50-v)+1.5v=90 \\ 100-2v+1.5v=90 \\ -2v+1.5v=-100+90 \\ -0.5v=-10 \\ v=(10)/(0.5) \\ v=20 \end{gathered}`

20 Veggie burgers

`\begin{gathered} t=50-v \\ t=50-20 \\ t=30 \end{gathered}`

30 Turkey burgers