SOLUTION: At a concession stand, five hot dogs and two hamburgers cost $8.00; two hot dogs and five hamburgers cost $9.50. Find the cost of one hot dog and one hamburger.

Question 323205: At a concession stand, five hot dogs and two hamburgers cost $8.00; two hot dogs and five hamburgers cost $9.50. Find the cost of one hot dog and one hamburger.
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
5D+2H=8 MULTIPLY BY 2
2D+5H=9.5 MULTIPLY BY -5 & ADD
10D+4H=16
-10D-25H=-47.5
--------------
-21H=-31.5
H=-31.5/21
H=$1.50 FOR EACH HAMBERGER.
5D+2*1.50=8
5D+3=8
5D=8-3
5D=5
D=5/5
D=$1.00 FOR EACH HOT DOG.
PROOF:
2*1.00+5*1.50=9.50
2.00+7.50=9.50
9.50=9.50
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