Afruit stand has to decide what to charge for their produce. they need $10 for 4 apples and 4 oranges. they also need $15 for 6 apples and 6 oranges. we put this information into a system of linear equations. can we find a unique price for an apple and an orange?

No, we cannot find a unique price for an apple and an orange.

Step-by-step explanation:

Let the price of an apple = x and the price of an orange = y (in dollars)

As, we have that,

They charge $10 for 4 apples and 4 oranges and $15 for 6 apples and 6 oranges.

So, we have the system of equations as,

4x + 4y = 10 (1)

6x + 6y = 15 (2)

Multiply equation (1) by 6 and equation (2) by 4, we get the equations,

24x + 24y = 60

24x + 24y = 60

As, both the equations are same, so they are dependent on each other.

Thus, there can be infinitely many solutions of this system of equations.

Hence, we cannot find a unique price for an apple and an orange.

hi there!

the answer will be d: 2