SOLUTION: You are at the buger barn. Two hamburgers and one hot dog cost $4.82. At the same price, one hamburger and two hotdogs cost $3.70. How much does a hotdog cost?

Algebra.Com
Question 26062: You are at the buger barn. Two hamburgers and one hot dog cost $4.82. At the same price, one hamburger and two hotdogs cost $3.70. How much does a hotdog cost?
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Let x be cost of a hamburger and y be cost of hot dog
2x+y=482 cents
x+2y=370 cents
Multiply the 2nd eq. by "2" to get 2x+47=740

Subtract this from the 1st eq. to get:
-3y=-258
y=86 cents
Substitute that into the 1st equation to get:
2x+86=482
2x=396
x=198 cents
So, hambugers cost $1.98; hot dogs cost $.86
Cheers,
Stan H.

RELATED QUESTIONS

at a concession stand, 7 hotdogs and 2 hamburgers cost a total of $14.50; two hot dogs... (answered by macston)
At a concession stand, five hot dogs and two hamburgers cost 11.00; two hot dogs and five (answered by jorel1380)
at a concession stand, five hot dogs and two hamburgers cost $8.50, two hot dogs and... (answered by Cromlix)
At a concession stand, five hot dogs and two hamburgers cost $8.00; two hot dogs and five (answered by checkley77)
At a concession stand, three hot dogs and two hamburgers cost $7.50; two hot dogs and... (answered by josmiceli)
At a concession​ stand, one hot dog and one hamburger cost ​$3.00; one hot... (answered by josgarithmetic)
two hamburgers and one bagel cost $4.82. At the same price, one hamburger and two... (answered by richwmiller,brucewill)
At a concession stand, 3 hot dogs and 4 hamburgers cost $11.00; 4 hot dogs and 3... (answered by TimothyLamb)
Two hot dogs and one hamburger cost $3.39. Three hot dogs and three hamburgers cost... (answered by LilSkittleMd)