Kelly wants to take guitar lessons. She can purchase two different guitar lesson package. Package A is 25 lessons for $200. Package B is 15 lessons for $105. If Kelly wants the better buy, which package should she choose? Show your work and explain why your choice is the better buy.

Question

GPT-4o mini · Answer

To determine which guitar lesson package is the better buy, we need to calculate the cost per lesson for both Package A and Package B.

Package A:

Total lessons: 25
Total cost: $200

To find the cost per lesson for Package A: \[ \text{Cost per lesson for Package A} = \frac{\text{Total cost}}{\text{Total lessons}} = \frac{200}{25} = 8 \] So, each lesson in Package A costs $8.

Package B:

Total lessons: 15
Total cost: $105

To find the cost per lesson for Package B: \[ \text{Cost per lesson for Package B} = \frac{\text{Total cost}}{\text{Total lessons}} = \frac{105}{15} = 7 \] So, each lesson in Package B costs $7.

Now we can compare the cost per lesson for both packages:

Package A: $8 per lesson
Package B: $7 per lesson

Conclusion: Since Package B has a lower cost per lesson ($7 per lesson compared to $8 per lesson in Package A), Package B is the better buy. Kelly should choose Package B for her guitar lessons.