Final answer:
To find the cost per piece of an apple and an orange, we can use the substitution method. The cost per apple is $2.20, and the cost per orange is -$11.25.
Step-by-step explanation:
To find the cost per piece of an apple and cost per piece of an orange, we can use the substitution method. Let's assign variables for the cost per apple and the cost per orange. Let's call the cost per apple 'a' and the cost per orange 'o'.
From the given information, we know that the person in front of Georgia got 5 apples and 4 oranges for $10. So we can write the equation: 5a + 4o = 10.
Georgia gets 5 apples for $11, so we can write the equation: 5a = 11.
We can solve this system of equations using the substitution method. Multiply the second equation by 5: 5a = 55. Now we can substitute this value of 'a' in the first equation:
5(11) + 4o = 10. Simplify the equation: 55 + 4o = 10. Subtract 55 from both sides: 4o = -45. Divide both sides by 4: o = -11.25.
The cost per piece of an apple is $2.20 (5 apples for $11), and the cost per piece of an orange is -$11.25 (4 oranges for $10).