Math question elimination

Question

2 burgers and 3 hotdogs cost $22.50. At the same price, 6 burgers and 1 hotdog cost $39.50.

How much do the burgers and hotdogs sell for if you only buy one?

Answer 1

Let x represent the price of burgers and y represent the price of hotdogs:

2x + 3y = 22.5

6x + y = 22.5

so,

y = 22.5 - 6x

2x + 3(y) = 22.5

2x + 3(22.5 - 6x) = 22.5

2x + 67.5 - 18x = 22.5

-16x = -45

x = $2.8125

y = 22.5 - 6(2.8125) = $5.625

So realistically speaking this couldn't be true because you can't charge a fraction of a penny. However, for the sake of the math problem and the numbers given, these are the prices.