SOLUTION: At a restaurant, one hamburger and two orders of fries costs $2.50. Two hamburgers and three orders of fries costs $4.25. At this rate, find the cost of one hamburger and one order

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: At a restaurant, one hamburger and two orders of fries costs $2.50. Two hamburgers and three orders of fries costs $4.25. At this rate, find the cost of one hamburger and one order      Log On


   

Question 176557: At a restaurant, one hamburger and two orders of fries costs $2.50. Two hamburgers and three orders of fries costs $4.25. At this rate, find the cost of one hamburger and one order of fries.
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
let the cost of a hamburger and order of fries be h and f respectively
:
h+2f=2.5......eq 1
2h+3f=4.25....eq 2
:
re write eq 1 to h=2.5-2f and take that value and plug it into eq 2
:
2(2.5-2f)+3f=4.25
:
5-4f+3f=4.25
:
-f=-.75
:
$highlight%28f=.75%29per fries
:
$highlight%28h=2.5-2%28.75%29=1.00%29per hamburger