Answer:
Both of them are correct.
Explanation:
Let's review both of their methods and check their validity.
Kaylee's Method:
This method is the most straight forward and seems to be correct as we're simply calculating the total value of each, and then subtracting the difference. We can write the expression as:
and this should give us the difference assuming the prices and math is done correctly.
Ariel's Method:
While this method is a bit difference, it actually does work! Think of this way, we first calculate the difference in the prices and then for each pound we increase it by, the difference also increases by this amount. It also helps to look at our original expression:
, notice how we have a factor of 2.25 on both sides? Well we can just factor that out to get:
and this is essentially what Ariel's method is. This should give us the difference in prices and is likely easier than Kaylee's method as we do less multiplication and with smaller numbers.