Millie wants to take swimming lessons. She can purchase two different swim lesson packages. Package A is 20 lessons for $230. Package B is 15 lessons for $180. If Millie wants the better buy, which package should she choose? Show your work and explain why your choice is the better buy.(4 points)

To determine which package is the better buy, we need to calculate the cost per lesson for each package.

For Package A:
Cost of Package A: $230
Number of lessons in Package A: 20
Cost per lesson for Package A = Cost of Package A / Number of lessons in Package A = $230 / 20 = $11.50

For Package B:
Cost of Package B: $180
Number of lessons in Package B: 15
Cost per lesson for Package B = Cost of Package B / Number of lessons in Package B = $180 / 15 = $12

Comparing the cost per lesson for each package, we can see that Package A has a lower cost per lesson ($11.50) compared to Package B ($12). Therefore, Package A is the better buy for Millie.

Explanation: Millie should choose Package A because it offers a lower cost per lesson, which means she will be getting more value for her money. With Package A, she will be paying $11.50 per lesson compared to $12 per lesson with Package B. This means that Package A is more affordable and cost-effective in the long run, enabling Millie to save more money while still receiving the same number of lessons.