SOLUTION: The Village Inn offers two special packages. For two nights and three meals the cost is $158. For two nights and five meals the cost is $181. Write and solve a system of linear equ

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The Village Inn offers two special packages. For two nights and three meals the cost is $158. For two nights and five meals the cost is $181. Write and solve a system of linear equ      Log On


   

Question 243537: The Village Inn offers two special packages. For two nights and three meals the cost is $158. For two nights and five meals the cost is $181. Write and solve a system of linear equations to find the costs per night and per meal.
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
2n+3m=158
-(2n+5m=181) subtract.
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-2m=-23
m=-23/-2
m=$11.50 cost of a meal.
2n+3*11.50=158
2n+34.50=158
2n=158-34.50
2n=123.50
n=123.50/2
n=$61.75 cost of a nights lodging.
Proof:
2*61.75+5*11.50=181
123.50+57.50=181
181=181