Question

Please help with question

Answer 1

To solve this problem you must apply the proccedure below:

 1. Let's call:

 x: hot dogs.
 y: hamburguers.

 2. Then, you must make a system of equations, as below:

 5x+4y=12.25  (i)
 4x+5y=12.50  (ii)

 3. Now, you can solve the system of equation as below:

 5x+4y=12.25
 x=(12.25-4y)/5

 4x+5y=12.50
 4((12.25-4y)/5)+5y=12.50
 y=1.5

 4x+5y=12.50
 4x+5(1.5)=12.50
 x=1.25

 4. Therefore, the answer is:

 The cost of one hot dog is $1.25 and the cost of one hamburguer is $1.50