SOLUTION: At a concession​ stand, three hot dogs and four hamburgers cost ​$10.00​; four hot dogs and three hamburgers cost ​$9.25. Find the cost of one hot dog and the cost of one h

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: At a concession​ stand, three hot dogs and four hamburgers cost ​$10.00​; four hot dogs and three hamburgers cost ​$9.25. Find the cost of one hot dog and the cost of one h      Log On


   

Question 1156181: At a concession​ stand, three hot dogs and four hamburgers cost ​$10.00​; four hot dogs and three hamburgers cost ​$9.25. Find the cost of one hot dog and the cost of one hamburger.
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
3HD+4H=10.00
4HD+3H=9.25
multiply top by 4 and bottom by -3
12HD+16H=40.00
-12HD-9H=-27.75. add them
7H=12.25
H=1.75
3HD+7=10.00
3HD=3
HD=1.00
check in bottom
4+5.25=9.25. checks
so 1HD + 1H=1+1.75=$2.75