Answer:
Hamburger: $3.75 each
Soda: $1.25 each
Step-by-step explanation:
(cost of 2 hamburgers) + (cost of 1 soda) = (total expenditure of $8.75).
Letting s represent the cost of a soda and h the cost of a hamburger in terms of the cost of a soda results in the system
h = s + $2.50
2h + 1s = $8.75
Use the substitution method. In the second equation replace h with s + $2.50:
2(s + $2.50) + 1s = $8.75, or
2s + $5.00 + 1s = $8.75
Then 3s = $3.75, and s = $1.25. A soda costs $1.25.
Since h = s + $2.50, we learn that a hamburger costs $1.25 + $2.50, or $3.75.
Hamburger: $3.75 each
Soda: $1.25 each
