Two hot dogs and one soda cost 3 DOLLARS If two sodas 4 50 CENTS what is the of a dog?

Let \(x\) the cost of a dog and \(y\) the cost of a soda.

Then according to the given information:

$$2x+y=3$$

>and

$$2y=4.50$$

Solving the second equation for \(y\)

$$y=\frac{4.50}{2}$$

$$y=2.25$$

Substituting this value of \(y\) into the first equation:

$$2x+2.25=3$$

$$2x=3-2.25$$

$$2x=0.75$$

$$x=\frac{0.75}{2}$$

$$x=0.375$$

Therefore the cost of one hot dog is $0.375**