Answer: the price of one hamburger is $3
The the price of one hot dog is $1.75
Step-by-step explanation:
Let x represent the price of one hamburger.
Let y represent the price of one hot dog.
The first order was for 24 hamburgers and 22 hotdogs totaling $110.50. It means that
24x + 22y = 110.5- - - - - - - - - - -1
The second order was for 30 hamburgers and 48 hotdogs totaling $174. It means that
30x + 48y = 174- - - - - - - - -2
Multiplying equation 1 by 30 and equation 2 by 24, it becomes
720x + 660y = 3315
720x + 1152y = 4176
Subtracting, it becomes
- 492y = - 861
y = - 861/ - 492
y = 1.75
Substituting y = 1.75 into equation 1, it becomes
24x + 22 × 1.75 = 110.5
24x + 38.5 = 110.5
24x = 110.5 - 38.5
24x = 72
x = 72/24
x = 3
