75.3k views
2 votes
Rhonda bought 3 oranges and 3 apples for $3. Shanda bought 2 oranges and 4 apples for $2.80. What system of equations best represents the situation, expressing the relationship between the number of oranges (o) and apples (a) that each person bought and the total cost (c) of their purchases?

1 Answer

3 votes

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.

User Grembo
by
8.6k points