158k views
2 votes
At Walmart, 6 apples and 5 $11. At-Publix, 2 apples and 3 :$7.: Set-up'a-system-of-two equations which-you-willsolve-to-find-the-cost-of-one-apple-and- one-orange.. 1

User Madoke
by
7.1k points

1 Answer

2 votes

Final answer:

To determine the cost of one apple, we set up two equations based on the prices and amounts from different stores, creating a system of equations which can be solved using substitution or elimination methods.

Step-by-step explanation:

To find the cost of one apple and one orange, we need to set up a system of equations based on the information given. Let's denote the cost of an apple as A and the cost of an orange as O.

The first store, Walmart, sells 6 apples and 5 oranges for $11, which gives us the equation:
6A + 5O = 11

The second store, Publix, sells 2 apples and 3 oranges for $7, resulting in the equation:
2A + 3O = 7

Now we have a system of equations:

  1. 6A + 5O = 11
  2. 2A + 3O = 7

To solve for A and O, we can use methods such as substitution or elimination. For example, we could solve one of the equations for one of the variables and substitute it into the other equation, or we could multiply the equations to get the coefficients of A or O to be opposites, and then add the equations to eliminate one of the variables.

User Faramarz Qoshchi
by
6.8k points