If 5 hotdogs and 15 hamburgers cost 29.50 and 10 hot dogs and 15 hamburgers cost 56.25. how much are the hot dogs and how much are the hamburgers

Hotdog costs $5.35 each and hamburger costs $0.18 each

Step-by-step explanation:

The difference in price between the two is the cost of 5 hotdogs.

So, $56.25 - $29.50 = $26.50

I hotdog would cost $26.50/5 = $5.35

Substituting the cost of one hotdog,

10 ($5.35) + 15ham = $56.25

$53.50 + 15 ham = $56.25

15 ham = $56.25 - $53.50

15 ham = $2.75

So, 1 ham = $2.75/15

= $0.18