Final answer:
The system of equations representing the total cost of oranges and apples for Rhonda and Shanda is 3o + 3a = 3 and 2o + 4a = 2.80.
Step-by-step explanation:
To solve this problem, we need to set up a system of linear equations based on the given information, where o represents the price of one orange and a represents the price of one apple. From the information provided, Rhonda's purchase gives us the first equation 3o + 3a = 3, and Shanda's purchase gives us the second equation 2o + 4a = 2.80. These equations represent the total cost of each person's purchase.