At a concession stand, seven hot dogs and two hamburgers cost $14.50; two hot dogs and seven hamburgers cost $17.00. Find the cost of one hot dog and the cost of one hamburger.
What is the cost of on hot dog? $__ (Simplify you answer)
What is the cost of one hamburger? $__ (Simplify your answer)
Thanks
+23254 Let D stand for the cost of a hot dog and H stand for the cost of a hamburger.
7D + 2H = 14.50 ---> multiply by 2 ---> 14D + 4H = 29.00
2D + 7H = 17.00 ---> multipoly by -7 --> -14D - 49H = -119.00
add down: - 45H = -90
H = 2.00
Substituting into the first equation: 7D + 2(2.00) = 14.50
7D + 4.00 = 14.50
7D = 10.50
D = 1.50
+23254 Let D stand for the cost of a hot dog and H stand for the cost of a hamburger.
7D + 2H = 14.50 ---> multiply by 2 ---> 14D + 4H = 29.00
2D + 7H = 17.00 ---> multipoly by -7 --> -14D - 49H = -119.00
add down: - 45H = -90
H = 2.00
Substituting into the first equation: 7D + 2(2.00) = 14.50
7D + 4.00 = 14.50
7D = 10.50
D = 1.50
