Final answer:
The equation representing the cost of oranges Corey bought is 6b + $6.75 = $28.11. After subtracting the cost of cookies from the total and dividing by the number of bags, we find that each bag of oranges costs $3.56.
Step-by-step explanation:
To determine the equation that could represent the cost of oranges Corey bought, we need to take the total amount he paid and account for the amount spent on cookies. We know that Corey pays a total of $28.11 (A) and $6.75 for the cookies (B). Since purchasing 6 bags of oranges (C), we can let b represent the cost of each bag of oranges. The equation derived from these facts would be:
6 bags of oranges × cost per bag of oranges (6b) + cost of cookies ($6.75) = total cost ($28.11)
Therefore, the equation is 6b + $6.75 = $28.11.
This equation reflects the total amount paid for oranges and cookies together. To solve for b, subtract the cost of the cookies from the total cost and then divide the remaining amount by 6:
$28.11 - $6.75 = $21.36
Now, divide $21.36 by 6 to find the cost per bag of oranges:
$21.36 ÷ 6 = $3.56
Therefore, each bag of oranges costs $3.56.