$4.25
Step-by-step explanation:
Let the cost of the hotdog be x
Since a hamburger costs $1.75 more than a hot dog. Then, the cost of the hamburger will be:
= x + 1.75
We are further told that the group buy 6 hot dogs and 3 hamburgers for a total of $27.75. This can then be represented in an equation as:
6 hot dogs + 3 hamburger = $27.75
(6 × x) + 3 × (x + 1.75) = 27.75
6x + 3x + 5.25 = 27.75
9x = 27.75 - 5.25
9x = 22.50
x = 22.50/9
x = 2.50
The hotdog cost $2.50
Cost of hamburger = x + 1.75
= $2.50 + $1.75
= $4.25