The cost of one hot dog is $1.75
The cost of one hamburger is $1.5
<u>Step-by-step explanation</u>:
Let,
- The cost of hot dog be 'x'.
- The cost of hamburger be 'y'.
The equations can be formed as :
7x + 4y = 18.25 --------(1)
4x + 7y = 17.50 --------(2)
Multiply eq (1) by 4 and eq (2) by 7,
28x + 16y = 73
- (<u>28x + 49y = 122.5)</u>
<u> - 33y = - 49.5</u>
y = 49.5/33
y = 1.5
The cost of one hamburger is $1.5
Substitute y=1.5 in eq (1),
7x + 4(1.5) = 18.25
7x = 18.25 - 6
x = 12.25/7
x = 1.75
The cost of one hot dog is $1.75