Question

Ryan bought 6 apples and 9 peaches for a total of $9.75. Madi bought 4 apples and 5 peaches for $5.75. How much are apples and peaches?

Define the variables.

▪ Write 2 equations that model the situation.

▪ Solve the system by either graphing, substitution or linear combinations.

▪ Answer the question that was asked.

▪ Plug in both answers and check your work

Answer 1

Google Linear Combination Method. This will tell you how to add the equations together, so you can get an answer. The equations are: 6a + 9p = 9.75 and
4a + 5p = 5.75. I want you to be able to do it on your own so you wont be plagiarizing.

Answer 2

Answer 1

The required equations are

6a+9p = 9.75

4a+5p = 5.75

Answer 2

The solution is given in the attached picture

Answer 3:

Apples are 1/2 and Peaches are 0.75

Answer 4:

Solving the equations by putting the values

Let's take equation 1

6a+9p = 9.75

6 (1/2) + 9 (0.75) = 9.75

So equation satisfies both sides