The cost of soda is $4.75 and the cost of hot dog is $2.5
<u>Step-by-step explanation</u>:
<u>Let us assume :</u>
- The cost of soda be 'x'.
- The cost of hot dog be 'y'.
<u>Given that,</u>
The cost of 2 sodas and 3 hot dogs are $17.
⇒ 2x + 3y = 17 ------(1)
The cost of 5 sodas and 6 hot dogs are $38.75
⇒ 5x + 6y = 38.75 -------(2)
<u>Solving the equations to find x and y values :</u>
Multiply eq(1) by 2 and subtract eq(2) from eq(1),
4x + 6y = 34
-(<u>5x + 6y = 38.75</u>)
<u>-x = -4.75 </u>
The value of x = 4.75
The cost of soda is $4.75
Substitute x=4.75 in eq(1),
2(4.75) + 3y = 17
3y = 17 - 9.5
3y = 7.5
y = 7.5/3
y = 2.5
The cost of hot dog is $2.5
