SOLUTION: You buy a total of 50 turkey burgers and veggie burgers for $90. You pay $2 per turkey burger and $1.50 per veggie burger. Write and solve a system of linear equations to find the

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: You buy a total of 50 turkey burgers and veggie burgers for $90. You pay $2 per turkey burger and $1.50 per veggie burger. Write and solve a system of linear equations to find the       Log On


   

Question 1107402: You buy a total of 50 turkey burgers and veggie burgers for $90. You pay $2 per turkey burger and $1.50 per veggie burger. Write and solve a system of linear equations to find the number of turkey burgers and veggie burgers you can buy.
Found 2 solutions by josgarithmetic, BumbleStar:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
t, turkey burgers
v, veggie burgers

system%28t%2Bv=50%2C2t%2B%283%2F2%29v=90%29

You can solve the system in whatever way you want or need.

Answer by BumbleStar(7) About Me  (Show Source):
You can put this solution on YOUR website!
Let t be the quantity of turkey burgers.
Let v be the quantity of veggie burgers.
In total, there are 50 burgers.
t%2Bv=50
Each turkey burger costs $2.00 and each veggie burger costs $1.50.
This means that the cost of one turkey burger is 2t and the cost of one veggie burger is 1.5t
2t%2B1.5v=90
Solve from here.
Solved by pluggable solver: Linear System solver (using determinant)
Solve:
+system%28+%0D%0A++++1%5Ct+%2B+1%5Cv+=+50%2C%0D%0A++++2%5Ct+%2B+1.5%5Cv+=+90+%29%0D%0A++

Any system of equations:


has solution

or



(t=30, v=20}

30 turkey burgers, 20 veggie burgers.