Avendor sells h hot dogs and s sodas. if a hot dog costs twice as much as a soda, and if the vendor takes in a total of d dollars, how many cents does a soda cost?

and not the stupid formula 100d(2h+s) or p= d/2h+s

The cost of a soda is  cents.

Explanation:

It is given that a hot dog costs twice as much as a soda.

Let x be the cost of a soda in cents.

Cost of a hot dog = 2x cents.

It is given that a vendor sells h hot dogs and s sodas. So, the total cost s

The vendor takes in a total of d dollars.

1 dollar = 100 cents

d dollars = 100d cents.

It means total cost is 100d.

Divide both sides by (2h+s).

Therefore,  cost of a soda is  cents.